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Finding the Fourth Proportional to 542.53, 749.06 and 417.97

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Solution

The fourth proportional to 542.53, 749.06 and 417.97 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.53 : 749.06 = 417.97 : x
  2. Step 2: Convert to fraction form
    542.53/749.06 = 417.97/x
  3. Step 3: Cross multiply
    542.53x = 749.06 × 417.97
  4. Step 4: Simplify right side
    542.53x = 313,084.61
  5. Step 5: Solve for x
    x = 313,084.61/542.53
  6. Step 6: Final answer
    x = 577.08

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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.