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Finding the Fourth Proportional to 409.13, 613.36 and 165.59

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Solution

The fourth proportional to 409.13, 613.36 and 165.59 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.13 : 613.36 = 165.59 : x
  2. Step 2: Convert to fraction form
    409.13/613.36 = 165.59/x
  3. Step 3: Cross multiply
    409.13x = 613.36 × 165.59
  4. Step 4: Simplify right side
    409.13x = 101,566.28
  5. Step 5: Solve for x
    x = 101,566.28/409.13
  6. Step 6: Final answer
    x = 248.25

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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.