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Finding the Fourth Proportional to 588.44, 882.82 and 280.28

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Solution

The fourth proportional to 588.44, 882.82 and 280.28 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 882.82 = 280.28 : x
  2. Step 2: Convert to fraction form
    588.44/882.82 = 280.28/x
  3. Step 3: Cross multiply
    588.44x = 882.82 × 280.28
  4. Step 4: Simplify right side
    588.44x = 247,436.79
  5. Step 5: Solve for x
    x = 247,436.79/588.44
  6. Step 6: Final answer
    x = 420.50

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1.5x scale

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.