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Finding the Fourth Proportional to 409.53, 614.06 and 165.79

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Solution

The fourth proportional to 409.53, 614.06 and 165.79 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 614.06 = 165.79 : x
  2. Step 2: Convert to fraction form
    409.53/614.06 = 165.79/x
  3. Step 3: Cross multiply
    409.53x = 614.06 × 165.79
  4. Step 4: Simplify right side
    409.53x = 101,805.01
  5. Step 5: Solve for x
    x = 101,805.01/409.53
  6. Step 6: Final answer
    x = 248.59

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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.