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Finding the Fourth Proportional to 637.92, 880.14 and 402.10

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Solution

The fourth proportional to 637.92, 880.14 and 402.10 is: 554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 880.14 = 402.10 : x
  2. Step 2: Convert to fraction form
    637.92/880.14 = 402.10/x
  3. Step 3: Cross multiply
    637.92x = 880.14 × 402.10
  4. Step 4: Simplify right side
    637.92x = 353,904.29
  5. Step 5: Solve for x
    x = 353,904.29/637.92
  6. Step 6: Final answer
    x = 554.78

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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.