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Finding the Fourth Proportional to 542.15, 748.52 and 417.59

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Solution

The fourth proportional to 542.15, 748.52 and 417.59 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.15 : 748.52 = 417.59 : x
  2. Step 2: Convert to fraction form
    542.15/748.52 = 417.59/x
  3. Step 3: Cross multiply
    542.15x = 748.52 × 417.59
  4. Step 4: Simplify right side
    542.15x = 312,574.47
  5. Step 5: Solve for x
    x = 312,574.47/542.15
  6. Step 6: Final answer
    x = 576.55

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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.