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Finding the Fourth Proportional to 541.46, 747.27 and 331.78

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Solution

The fourth proportional to 541.46, 747.27 and 331.78 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 747.27 = 331.78 : x
  2. Step 2: Convert to fraction form
    541.46/747.27 = 331.78/x
  3. Step 3: Cross multiply
    541.46x = 747.27 × 331.78
  4. Step 4: Simplify right side
    541.46x = 247,927.60
  5. Step 5: Solve for x
    x = 247,927.60/541.46
  6. Step 6: Final answer
    x = 457.89

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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.