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Finding the Fourth Proportional to 542.47, 748.14 and 418.45

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Solution

The fourth proportional to 542.47, 748.14 and 418.45 is: 577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.47 : 748.14 = 418.45 : x
  2. Step 2: Convert to fraction form
    542.47/748.14 = 418.45/x
  3. Step 3: Cross multiply
    542.47x = 748.14 × 418.45
  4. Step 4: Simplify right side
    542.47x = 313,059.18
  5. Step 5: Solve for x
    x = 313,059.18/542.47
  6. Step 6: Final answer
    x = 577.10

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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.