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Finding the Fourth Proportional to 592.60, 886.38 and 576.88

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Solution

The fourth proportional to 592.60, 886.38 and 576.88 is: 862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.60 : 886.38 = 576.88 : x
  2. Step 2: Convert to fraction form
    592.60/886.38 = 576.88/x
  3. Step 3: Cross multiply
    592.60x = 886.38 × 576.88
  4. Step 4: Simplify right side
    592.60x = 511,334.89
  5. Step 5: Solve for x
    x = 511,334.89/592.60
  6. Step 6: Final answer
    x = 862.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.