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Finding the Fourth Proportional to 409.05, 613.58 and 165.75

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Solution

The fourth proportional to 409.05, 613.58 and 165.75 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 613.58 = 165.75 : x
  2. Step 2: Convert to fraction form
    409.05/613.58 = 165.75/x
  3. Step 3: Cross multiply
    409.05x = 613.58 × 165.75
  4. Step 4: Simplify right side
    409.05x = 101,697.76
  5. Step 5: Solve for x
    x = 101,697.76/409.05
  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.