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Finding the Fourth Proportional to 500.83, 691.10 and 279.77

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Solution

The fourth proportional to 500.83, 691.10 and 279.77 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.83 : 691.10 = 279.77 : x
  2. Step 2: Convert to fraction form
    500.83/691.10 = 279.77/x
  3. Step 3: Cross multiply
    500.83x = 691.10 × 279.77
  4. Step 4: Simplify right side
    500.83x = 193,349.05
  5. Step 5: Solve for x
    x = 193,349.05/500.83
  6. Step 6: Final answer
    x = 386.06

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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.