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Finding the Fourth Proportional to 541.43, 747.28 and 354.85

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Solution

The fourth proportional to 541.43, 747.28 and 354.85 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.43 : 747.28 = 354.85 : x
  2. Step 2: Convert to fraction form
    541.43/747.28 = 354.85/x
  3. Step 3: Cross multiply
    541.43x = 747.28 × 354.85
  4. Step 4: Simplify right side
    541.43x = 265,172.31
  5. Step 5: Solve for x
    x = 265,172.31/541.43
  6. Step 6: Final answer
    x = 489.76

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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.