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Finding the Fourth Proportional to 588.33, 881.12 and 458.03

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Solution

The fourth proportional to 588.33, 881.12 and 458.03 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.33 : 881.12 = 458.03 : x
  2. Step 2: Convert to fraction form
    588.33/881.12 = 458.03/x
  3. Step 3: Cross multiply
    588.33x = 881.12 × 458.03
  4. Step 4: Simplify right side
    588.33x = 403,572.70
  5. Step 5: Solve for x
    x = 403,572.70/588.33
  6. Step 6: Final answer
    x = 685.96

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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.