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Finding the Fourth Proportional to 637.14, 879.10 and 404.13

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Solution

The fourth proportional to 637.14, 879.10 and 404.13 is: 557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 879.10 = 404.13 : x
  2. Step 2: Convert to fraction form
    637.14/879.10 = 404.13/x
  3. Step 3: Cross multiply
    637.14x = 879.10 × 404.13
  4. Step 4: Simplify right side
    637.14x = 355,270.68
  5. Step 5: Solve for x
    x = 355,270.68/637.14
  6. Step 6: Final answer
    x = 557.60

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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.