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Finding the Fourth Proportional to 649.35, 973.56 and 324.48

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Solution

The fourth proportional to 649.35, 973.56 and 324.48 is: 486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 973.56 = 324.48 : x
  2. Step 2: Convert to fraction form
    649.35/973.56 = 324.48/x
  3. Step 3: Cross multiply
    649.35x = 973.56 × 324.48
  4. Step 4: Simplify right side
    649.35x = 315,900.75
  5. Step 5: Solve for x
    x = 315,900.75/649.35
  6. Step 6: Final answer
    x = 486.49

Related Problems

Find fourth proportional to 324.68, 486.78 and 162.24
Half scale
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Double scale
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Similar ratio
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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.