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Finding the Fourth Proportional to 588.63, 881.68 and 382.59

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Solution

The fourth proportional to 588.63, 881.68 and 382.59 is: 573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.63 : 881.68 = 382.59 : x
  2. Step 2: Convert to fraction form
    588.63/881.68 = 382.59/x
  3. Step 3: Cross multiply
    588.63x = 881.68 × 382.59
  4. Step 4: Simplify right side
    588.63x = 337,321.95
  5. Step 5: Solve for x
    x = 337,321.95/588.63
  6. Step 6: Final answer
    x = 573.06

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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.