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Finding the Fourth Proportional to 458.39, 687.61 and 184.48

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Solution

The fourth proportional to 458.39, 687.61 and 184.48 is: 276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.39 : 687.61 = 184.48 : x
  2. Step 2: Convert to fraction form
    458.39/687.61 = 184.48/x
  3. Step 3: Cross multiply
    458.39x = 687.61 × 184.48
  4. Step 4: Simplify right side
    458.39x = 126,845.93
  5. Step 5: Solve for x
    x = 126,845.93/458.39
  6. Step 6: Final answer
    x = 276.72

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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.