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Finding the Fourth Proportional to 542, 813.24 and 285.44

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Solution

The fourth proportional to 542, 813.24 and 285.44 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 813.24 = 285.44 : x
  2. Step 2: Convert to fraction form
    542/813.24 = 285.44/x
  3. Step 3: Cross multiply
    542x = 813.24 × 285.44
  4. Step 4: Simplify right side
    542x = 232,131.23
  5. Step 5: Solve for x
    x = 232,131.23/542
  6. Step 6: Final answer
    x = 428.29

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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.