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Finding the Fourth Proportional to 588.12, 881.78 and 280.04

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Solution

The fourth proportional to 588.12, 881.78 and 280.04 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 881.78 = 280.04 : x
  2. Step 2: Convert to fraction form
    588.12/881.78 = 280.04/x
  3. Step 3: Cross multiply
    588.12x = 881.78 × 280.04
  4. Step 4: Simplify right side
    588.12x = 246,933.67
  5. Step 5: Solve for x
    x = 246,933.67/588.12
  6. Step 6: Final answer
    x = 419.87

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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.