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Finding the Fourth Proportional to 574.60, 861.63 and 184.53

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Solution

The fourth proportional to 574.60, 861.63 and 184.53 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.60 : 861.63 = 184.53 : x
  2. Step 2: Convert to fraction form
    574.60/861.63 = 184.53/x
  3. Step 3: Cross multiply
    574.60x = 861.63 × 184.53
  4. Step 4: Simplify right side
    574.60x = 158,996.58
  5. Step 5: Solve for x
    x = 158,996.58/574.60
  6. Step 6: Final answer
    x = 276.71

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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.