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Finding the Fourth Proportional to 637.38, 879.65 and 416.74

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Solution

The fourth proportional to 637.38, 879.65 and 416.74 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.38 : 879.65 = 416.74 : x
  2. Step 2: Convert to fraction form
    637.38/879.65 = 416.74/x
  3. Step 3: Cross multiply
    637.38x = 879.65 × 416.74
  4. Step 4: Simplify right side
    637.38x = 366,585.34
  5. Step 5: Solve for x
    x = 366,585.34/637.38
  6. Step 6: Final answer
    x = 575.14

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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.