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Finding the Fourth Proportional to 637.27, 879.20 and 416.14

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Solution

The fourth proportional to 637.27, 879.20 and 416.14 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.27 : 879.20 = 416.14 : x
  2. Step 2: Convert to fraction form
    637.27/879.20 = 416.14/x
  3. Step 3: Cross multiply
    637.27x = 879.20 × 416.14
  4. Step 4: Simplify right side
    637.27x = 365,869.91
  5. Step 5: Solve for x
    x = 365,869.91/637.27
  6. Step 6: Final answer
    x = 574.12

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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.