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Finding the Fourth Proportional to 588.77, 882.70 and 280.31

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Solution

The fourth proportional to 588.77, 882.70 and 280.31 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.77 : 882.70 = 280.31 : x
  2. Step 2: Convert to fraction form
    588.77/882.70 = 280.31/x
  3. Step 3: Cross multiply
    588.77x = 882.70 × 280.31
  4. Step 4: Simplify right side
    588.77x = 247,429.49
  5. Step 5: Solve for x
    x = 247,429.49/588.77
  6. Step 6: Final answer
    x = 420.25

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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.