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Finding the Fourth Proportional to 542.64, 748.80 and 346.08

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Solution

The fourth proportional to 542.64, 748.80 and 346.08 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 748.80 = 346.08 : x
  2. Step 2: Convert to fraction form
    542.64/748.80 = 346.08/x
  3. Step 3: Cross multiply
    542.64x = 748.80 × 346.08
  4. Step 4: Simplify right side
    542.64x = 259,144.70
  5. Step 5: Solve for x
    x = 259,144.70/542.64
  6. Step 6: Final answer
    x = 477.56

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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.