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Finding the Fourth Proportional to 576.40, 864.54 and 542.56

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Solution

The fourth proportional to 576.40, 864.54 and 542.56 is: 813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 864.54 = 542.56 : x
  2. Step 2: Convert to fraction form
    576.40/864.54 = 542.56/x
  3. Step 3: Cross multiply
    576.40x = 864.54 × 542.56
  4. Step 4: Simplify right side
    576.40x = 469,064.82
  5. Step 5: Solve for x
    x = 469,064.82/576.40
  6. Step 6: Final answer
    x = 813.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.