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Finding the Fourth Proportional to 500.83, 691.17 and 279.78

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Solution

The fourth proportional to 500.83, 691.17 and 279.78 is: 386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.83 : 691.17 = 279.78 : x
  2. Step 2: Convert to fraction form
    500.83/691.17 = 279.78/x
  3. Step 3: Cross multiply
    500.83x = 691.17 × 279.78
  4. Step 4: Simplify right side
    500.83x = 193,376.77
  5. Step 5: Solve for x
    x = 193,376.77/500.83
  6. Step 6: Final answer
    x = 386.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.