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Finding the Fourth Proportional to 439.67, 659.42 and 165.77

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Solution

The fourth proportional to 439.67, 659.42 and 165.77 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.67 : 659.42 = 165.77 : x
  2. Step 2: Convert to fraction form
    439.67/659.42 = 165.77/x
  3. Step 3: Cross multiply
    439.67x = 659.42 × 165.77
  4. Step 4: Simplify right side
    439.67x = 109,312.05
  5. Step 5: Solve for x
    x = 109,312.05/439.67
  6. Step 6: Final answer
    x = 248.62

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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.