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Finding the Fourth Proportional to 649.57, 974.70 and 353.06

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Solution

The fourth proportional to 649.57, 974.70 and 353.06 is: 529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.57 : 974.70 = 353.06 : x
  2. Step 2: Convert to fraction form
    649.57/974.70 = 353.06/x
  3. Step 3: Cross multiply
    649.57x = 974.70 × 353.06
  4. Step 4: Simplify right side
    649.57x = 344,127.58
  5. Step 5: Solve for x
    x = 344,127.58/649.57
  6. Step 6: Final answer
    x = 529.78

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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.