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Finding the Fourth Proportional to 542.64, 748.83 and 346.11

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Solution

The fourth proportional to 542.64, 748.83 and 346.11 is: 477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 748.83 = 346.11 : x
  2. Step 2: Convert to fraction form
    542.64/748.83 = 346.11/x
  3. Step 3: Cross multiply
    542.64x = 748.83 × 346.11
  4. Step 4: Simplify right side
    542.64x = 259,177.55
  5. Step 5: Solve for x
    x = 259,177.55/542.64
  6. Step 6: Final answer
    x = 477.62

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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.