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Finding the Fourth Proportional to 458.01, 687.08 and 184.10

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Solution

The fourth proportional to 458.01, 687.08 and 184.10 is: 276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.01 : 687.08 = 184.10 : x
  2. Step 2: Convert to fraction form
    458.01/687.08 = 184.10/x
  3. Step 3: Cross multiply
    458.01x = 687.08 × 184.10
  4. Step 4: Simplify right side
    458.01x = 126,491.43
  5. Step 5: Solve for x
    x = 126,491.43/458.01
  6. Step 6: Final answer
    x = 276.18

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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.