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Finding the Fourth Proportional to 542.02, 748.35 and 417.46

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Solution

The fourth proportional to 542.02, 748.35 and 417.46 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 748.35 = 417.46 : x
  2. Step 2: Convert to fraction form
    542.02/748.35 = 417.46/x
  3. Step 3: Cross multiply
    542.02x = 748.35 × 417.46
  4. Step 4: Simplify right side
    542.02x = 312,406.19
  5. Step 5: Solve for x
    x = 312,406.19/542.02
  6. Step 6: Final answer
    x = 576.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.