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Finding the Fourth Proportional to 500.74, 691.04 and 279.73

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Solution

The fourth proportional to 500.74, 691.04 and 279.73 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 691.04 = 279.73 : x
  2. Step 2: Convert to fraction form
    500.74/691.04 = 279.73/x
  3. Step 3: Cross multiply
    500.74x = 691.04 × 279.73
  4. Step 4: Simplify right side
    500.74x = 193,303.22
  5. Step 5: Solve for x
    x = 193,303.22/500.74
  6. Step 6: Final answer
    x = 386.04

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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.