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Finding the Fourth Proportional to 580.95, 869.90 and 547.24

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Solution

The fourth proportional to 580.95, 869.90 and 547.24 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.95 : 869.90 = 547.24 : x
  2. Step 2: Convert to fraction form
    580.95/869.90 = 547.24/x
  3. Step 3: Cross multiply
    580.95x = 869.90 × 547.24
  4. Step 4: Simplify right side
    580.95x = 476,039.73
  5. Step 5: Solve for x
    x = 476,039.73/580.95
  6. Step 6: Final answer
    x = 819.42

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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.