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Finding the Fourth Proportional to 458.28, 687.37 and 165.77

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Solution

The fourth proportional to 458.28, 687.37 and 165.77 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 687.37 = 165.77 : x
  2. Step 2: Convert to fraction form
    458.28/687.37 = 165.77/x
  3. Step 3: Cross multiply
    458.28x = 687.37 × 165.77
  4. Step 4: Simplify right side
    458.28x = 113,945.32
  5. Step 5: Solve for x
    x = 113,945.32/458.28
  6. Step 6: Final answer
    x = 248.64

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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.