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Finding the Fourth Proportional to 542.52, 813.24 and 286.02

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Solution

The fourth proportional to 542.52, 813.24 and 286.02 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 813.24 = 286.02 : x
  2. Step 2: Convert to fraction form
    542.52/813.24 = 286.02/x
  3. Step 3: Cross multiply
    542.52x = 813.24 × 286.02
  4. Step 4: Simplify right side
    542.52x = 232,602.90
  5. Step 5: Solve for x
    x = 232,602.90/542.52
  6. Step 6: Final answer
    x = 428.75

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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.