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Finding the Fourth Proportional to 542.16, 813.72 and 253.76

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Solution

The fourth proportional to 542.16, 813.72 and 253.76 is: 380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 813.72 = 253.76 : x
  2. Step 2: Convert to fraction form
    542.16/813.72 = 253.76/x
  3. Step 3: Cross multiply
    542.16x = 813.72 × 253.76
  4. Step 4: Simplify right side
    542.16x = 206,489.59
  5. Step 5: Solve for x
    x = 206,489.59/542.16
  6. Step 6: Final answer
    x = 380.86

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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.