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Finding the Fourth Proportional to 542.81, 813.89 and 264.62

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Solution

The fourth proportional to 542.81, 813.89 and 264.62 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.81 : 813.89 = 264.62 : x
  2. Step 2: Convert to fraction form
    542.81/813.89 = 264.62/x
  3. Step 3: Cross multiply
    542.81x = 813.89 × 264.62
  4. Step 4: Simplify right side
    542.81x = 215,371.57
  5. Step 5: Solve for x
    x = 215,371.57/542.81
  6. Step 6: Final answer
    x = 396.77

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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.