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Finding the Fourth Proportional to 679.48, 938.10 and 431.16

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Solution

The fourth proportional to 679.48, 938.10 and 431.16 is: 595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.48 : 938.10 = 431.16 : x
  2. Step 2: Convert to fraction form
    679.48/938.10 = 431.16/x
  3. Step 3: Cross multiply
    679.48x = 938.10 × 431.16
  4. Step 4: Simplify right side
    679.48x = 404,471.20
  5. Step 5: Solve for x
    x = 404,471.20/679.48
  6. Step 6: Final answer
    x = 595.27

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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.