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Finding the Fourth Proportional to 588.82, 883.31 and 280.82

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Solution

The fourth proportional to 588.82, 883.31 and 280.82 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.82 : 883.31 = 280.82 : x
  2. Step 2: Convert to fraction form
    588.82/883.31 = 280.82/x
  3. Step 3: Cross multiply
    588.82x = 883.31 × 280.82
  4. Step 4: Simplify right side
    588.82x = 248,046.95
  5. Step 5: Solve for x
    x = 248,046.95/588.82
  6. Step 6: Final answer
    x = 421.26

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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.