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Finding the Fourth Proportional to 542.91, 748.94 and 346.08

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Solution

The fourth proportional to 542.91, 748.94 and 346.08 is: 477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.91 : 748.94 = 346.08 : x
  2. Step 2: Convert to fraction form
    542.91/748.94 = 346.08/x
  3. Step 3: Cross multiply
    542.91x = 748.94 × 346.08
  4. Step 4: Simplify right side
    542.91x = 259,191.42
  5. Step 5: Solve for x
    x = 259,191.42/542.91
  6. Step 6: Final answer
    x = 477.41

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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.