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Finding the Fourth Proportional to 500.74, 691.04 and 279.71

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Solution

The fourth proportional to 500.74, 691.04 and 279.71 is: 386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 691.04 = 279.71 : x
  2. Step 2: Convert to fraction form
    500.74/691.04 = 279.71/x
  3. Step 3: Cross multiply
    500.74x = 691.04 × 279.71
  4. Step 4: Simplify right side
    500.74x = 193,285.94
  5. Step 5: Solve for x
    x = 193,285.94/500.74
  6. Step 6: Final answer
    x = 386.00

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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.