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Finding the Fourth Proportional to 649.29, 972.10 and 494.58

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Solution

The fourth proportional to 649.29, 972.10 and 494.58 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.29 : 972.10 = 494.58 : x
  2. Step 2: Convert to fraction form
    649.29/972.10 = 494.58/x
  3. Step 3: Cross multiply
    649.29x = 972.10 × 494.58
  4. Step 4: Simplify right side
    649.29x = 480,781.22
  5. Step 5: Solve for x
    x = 480,781.22/649.29
  6. Step 6: Final answer
    x = 740.47

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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.