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Finding the Fourth Proportional to 542.53, 748.71 and 346.41

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Solution

The fourth proportional to 542.53, 748.71 and 346.41 is: 478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.53 : 748.71 = 346.41 : x
  2. Step 2: Convert to fraction form
    542.53/748.71 = 346.41/x
  3. Step 3: Cross multiply
    542.53x = 748.71 × 346.41
  4. Step 4: Simplify right side
    542.53x = 259,360.63
  5. Step 5: Solve for x
    x = 259,360.63/542.53
  6. Step 6: Final answer
    x = 478.06

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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.