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Finding the Fourth Proportional to 542.88, 748.77 and 346.25

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Solution

The fourth proportional to 542.88, 748.77 and 346.25 is: 477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 748.77 = 346.25 : x
  2. Step 2: Convert to fraction form
    542.88/748.77 = 346.25/x
  3. Step 3: Cross multiply
    542.88x = 748.77 × 346.25
  4. Step 4: Simplify right side
    542.88x = 259,261.61
  5. Step 5: Solve for x
    x = 259,261.61/542.88
  6. Step 6: Final answer
    x = 477.57

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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.