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Finding the Fourth Proportional to 458.48, 687.44 and 165.84

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Solution

The fourth proportional to 458.48, 687.44 and 165.84 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 687.44 = 165.84 : x
  2. Step 2: Convert to fraction form
    458.48/687.44 = 165.84/x
  3. Step 3: Cross multiply
    458.48x = 687.44 × 165.84
  4. Step 4: Simplify right side
    458.48x = 114,005.05
  5. Step 5: Solve for x
    x = 114,005.05/458.48
  6. Step 6: Final answer
    x = 248.66

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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.