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Finding the Fourth Proportional to 458.41, 687.62 and 111.75

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Solution

The fourth proportional to 458.41, 687.62 and 111.75 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.41 : 687.62 = 111.75 : x
  2. Step 2: Convert to fraction form
    458.41/687.62 = 111.75/x
  3. Step 3: Cross multiply
    458.41x = 687.62 × 111.75
  4. Step 4: Simplify right side
    458.41x = 76,839.82
  5. Step 5: Solve for x
    x = 76,839.82/458.41
  6. Step 6: Final answer
    x = 167.62

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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.