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Finding the Fourth Proportional to 500.88, 691.21 and 279.84

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Solution

The fourth proportional to 500.88, 691.21 and 279.84 is: 386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 691.21 = 279.84 : x
  2. Step 2: Convert to fraction form
    500.88/691.21 = 279.84/x
  3. Step 3: Cross multiply
    500.88x = 691.21 × 279.84
  4. Step 4: Simplify right side
    500.88x = 193,428.21
  5. Step 5: Solve for x
    x = 193,428.21/500.88
  6. Step 6: Final answer
    x = 386.18

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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.