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Finding the Fourth Proportional to 615.14, 849.11 and 542.24

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Solution

The fourth proportional to 615.14, 849.11 and 542.24 is: 748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.14 : 849.11 = 542.24 : x
  2. Step 2: Convert to fraction form
    615.14/849.11 = 542.24/x
  3. Step 3: Cross multiply
    615.14x = 849.11 × 542.24
  4. Step 4: Simplify right side
    615.14x = 460,414.45
  5. Step 5: Solve for x
    x = 460,414.45/615.14
  6. Step 6: Final answer
    x = 748.48

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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.