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Finding the Fourth Proportional to 409.30, 613.98 and 165.76

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Solution

The fourth proportional to 409.30, 613.98 and 165.76 is: 248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.30 : 613.98 = 165.76 : x
  2. Step 2: Convert to fraction form
    409.30/613.98 = 165.76/x
  3. Step 3: Cross multiply
    409.30x = 613.98 × 165.76
  4. Step 4: Simplify right side
    409.30x = 101,773.32
  5. Step 5: Solve for x
    x = 101,773.32/409.30
  6. Step 6: Final answer
    x = 248.65

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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.