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Finding the Fourth Proportional to 649.10, 973.65 and 325.10

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Solution

The fourth proportional to 649.10, 973.65 and 325.10 is: 487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 973.65 = 325.10 : x
  2. Step 2: Convert to fraction form
    649.10/973.65 = 325.10/x
  3. Step 3: Cross multiply
    649.10x = 973.65 × 325.10
  4. Step 4: Simplify right side
    649.10x = 316,533.62
  5. Step 5: Solve for x
    x = 316,533.62/649.10
  6. Step 6: Final answer
    x = 487.65

Related Problems

Find fourth proportional to 324.55, 486.83 and 162.55
Half scale
Find fourth proportional to 1,298.20, 1,947.30 and 650.20
Double scale
Find fourth proportional to 650.10, 975.15 and 326.10
Similar ratio
Find fourth proportional to 973.65, 1,460.48 and 487.65
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.