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Finding the Fourth Proportional to 542.70, 748.78 and 346.05

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Solution

The fourth proportional to 542.70, 748.78 and 346.05 is: 477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 748.78 = 346.05 : x
  2. Step 2: Convert to fraction form
    542.70/748.78 = 346.05/x
  3. Step 3: Cross multiply
    542.70x = 748.78 × 346.05
  4. Step 4: Simplify right side
    542.70x = 259,113.59
  5. Step 5: Solve for x
    x = 259,113.59/542.70
  6. Step 6: Final answer
    x = 477.45

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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.