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Finding the Fourth Proportional to 637.46, 954.98 and 431.02

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Solution

The fourth proportional to 637.46, 954.98 and 431.02 is: 645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.46 : 954.98 = 431.02 : x
  2. Step 2: Convert to fraction form
    637.46/954.98 = 431.02/x
  3. Step 3: Cross multiply
    637.46x = 954.98 × 431.02
  4. Step 4: Simplify right side
    637.46x = 411,610.94
  5. Step 5: Solve for x
    x = 411,610.94/637.46
  6. Step 6: Final answer
    x = 645.70

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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.