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Finding the Fourth Proportional to 649.54, 973.80 and 324.74

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Solution

The fourth proportional to 649.54, 973.80 and 324.74 is: 486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 973.80 = 324.74 : x
  2. Step 2: Convert to fraction form
    649.54/973.80 = 324.74/x
  3. Step 3: Cross multiply
    649.54x = 973.80 × 324.74
  4. Step 4: Simplify right side
    649.54x = 316,231.81
  5. Step 5: Solve for x
    x = 316,231.81/649.54
  6. Step 6: Final answer
    x = 486.86

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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.