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Finding the Fourth Proportional to 541.74, 747.54 and 331.97

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Solution

The fourth proportional to 541.74, 747.54 and 331.97 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.74 : 747.54 = 331.97 : x
  2. Step 2: Convert to fraction form
    541.74/747.54 = 331.97/x
  3. Step 3: Cross multiply
    541.74x = 747.54 × 331.97
  4. Step 4: Simplify right side
    541.74x = 248,160.85
  5. Step 5: Solve for x
    x = 248,160.85/541.74
  6. Step 6: Final answer
    x = 458.08

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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.