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Finding the Fourth Proportional to 409.37, 614.05 and 165.89

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Solution

The fourth proportional to 409.37, 614.05 and 165.89 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.37 : 614.05 = 165.89 : x
  2. Step 2: Convert to fraction form
    409.37/614.05 = 165.89/x
  3. Step 3: Cross multiply
    409.37x = 614.05 × 165.89
  4. Step 4: Simplify right side
    409.37x = 101,864.75
  5. Step 5: Solve for x
    x = 101,864.75/409.37
  6. Step 6: Final answer
    x = 248.83

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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.