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Finding the Fourth Proportional to 588.85, 881.96 and 457.84

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Solution

The fourth proportional to 588.85, 881.96 and 457.84 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.85 : 881.96 = 457.84 : x
  2. Step 2: Convert to fraction form
    588.85/881.96 = 457.84/x
  3. Step 3: Cross multiply
    588.85x = 881.96 × 457.84
  4. Step 4: Simplify right side
    588.85x = 403,789.87
  5. Step 5: Solve for x
    x = 403,789.87/588.85
  6. Step 6: Final answer
    x = 685.73

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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.