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Finding the Fourth Proportional to 588.80, 882.69 and 280.23

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Solution

The fourth proportional to 588.80, 882.69 and 280.23 is: 420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 882.69 = 280.23 : x
  2. Step 2: Convert to fraction form
    588.80/882.69 = 280.23/x
  3. Step 3: Cross multiply
    588.80x = 882.69 × 280.23
  4. Step 4: Simplify right side
    588.80x = 247,355.13
  5. Step 5: Solve for x
    x = 247,355.13/588.80
  6. Step 6: Final answer
    x = 420.10

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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.