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Finding the Fourth Proportional to 542.79, 750.02 and 411.57

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Solution

The fourth proportional to 542.79, 750.02 and 411.57 is: 568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.79 : 750.02 = 411.57 : x
  2. Step 2: Convert to fraction form
    542.79/750.02 = 411.57/x
  3. Step 3: Cross multiply
    542.79x = 750.02 × 411.57
  4. Step 4: Simplify right side
    542.79x = 308,685.73
  5. Step 5: Solve for x
    x = 308,685.73/542.79
  6. Step 6: Final answer
    x = 568.70

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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.