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Finding the Fourth Proportional to 588.44, 883.28 and 280.55

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Solution

The fourth proportional to 588.44, 883.28 and 280.55 is: 421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 883.28 = 280.55 : x
  2. Step 2: Convert to fraction form
    588.44/883.28 = 280.55/x
  3. Step 3: Cross multiply
    588.44x = 883.28 × 280.55
  4. Step 4: Simplify right side
    588.44x = 247,807.11
  5. Step 5: Solve for x
    x = 247,807.11/588.44
  6. Step 6: Final answer
    x = 421.12

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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.