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Finding the Fourth Proportional to 542.16, 748.44 and 411.66

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Solution

The fourth proportional to 542.16, 748.44 and 411.66 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 748.44 = 411.66 : x
  2. Step 2: Convert to fraction form
    542.16/748.44 = 411.66/x
  3. Step 3: Cross multiply
    542.16x = 748.44 × 411.66
  4. Step 4: Simplify right side
    542.16x = 308,102.81
  5. Step 5: Solve for x
    x = 308,102.81/542.16
  6. Step 6: Final answer
    x = 568.29

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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.