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Finding the Fourth Proportional to 458.14, 687.72 and 184.42

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Solution

The fourth proportional to 458.14, 687.72 and 184.42 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.14 : 687.72 = 184.42 : x
  2. Step 2: Convert to fraction form
    458.14/687.72 = 184.42/x
  3. Step 3: Cross multiply
    458.14x = 687.72 × 184.42
  4. Step 4: Simplify right side
    458.14x = 126,827.38
  5. Step 5: Solve for x
    x = 126,827.38/458.14
  6. Step 6: Final answer
    x = 276.83

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Why These Related Problems?

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