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Finding the Fourth Proportional to 588.57, 881.28 and 486.30

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Solution

The fourth proportional to 588.57, 881.28 and 486.30 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 881.28 = 486.30 : x
  2. Step 2: Convert to fraction form
    588.57/881.28 = 486.30/x
  3. Step 3: Cross multiply
    588.57x = 881.28 × 486.30
  4. Step 4: Simplify right side
    588.57x = 428,569.77
  5. Step 5: Solve for x
    x = 428,569.77/588.57
  6. Step 6: Final answer
    x = 728.16

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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.