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Finding the Fourth Proportional to 637.38, 880.92 and 497.88

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Solution

The fourth proportional to 637.38, 880.92 and 497.88 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.38 : 880.92 = 497.88 : x
  2. Step 2: Convert to fraction form
    637.38/880.92 = 497.88/x
  3. Step 3: Cross multiply
    637.38x = 880.92 × 497.88
  4. Step 4: Simplify right side
    637.38x = 438,592.45
  5. Step 5: Solve for x
    x = 438,592.45/637.38
  6. Step 6: Final answer
    x = 688.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.