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Finding the Fourth Proportional to 588.04, 882.17 and 279.73

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Solution

The fourth proportional to 588.04, 882.17 and 279.73 is: 419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.04 : 882.17 = 279.73 : x
  2. Step 2: Convert to fraction form
    588.04/882.17 = 279.73/x
  3. Step 3: Cross multiply
    588.04x = 882.17 × 279.73
  4. Step 4: Simplify right side
    588.04x = 246,769.41
  5. Step 5: Solve for x
    x = 246,769.41/588.04
  6. Step 6: Final answer
    x = 419.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.