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Finding the Fourth Proportional to 635.92, 877.72 and 387.14

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Solution

The fourth proportional to 635.92, 877.72 and 387.14 is: 534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.92 : 877.72 = 387.14 : x
  2. Step 2: Convert to fraction form
    635.92/877.72 = 387.14/x
  3. Step 3: Cross multiply
    635.92x = 877.72 × 387.14
  4. Step 4: Simplify right side
    635.92x = 339,800.52
  5. Step 5: Solve for x
    x = 339,800.52/635.92
  6. Step 6: Final answer
    x = 534.34

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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.