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Finding the Fourth Proportional to 409.25, 613.78 and 145.70

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Solution

The fourth proportional to 409.25, 613.78 and 145.70 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 613.78 = 145.70 : x
  2. Step 2: Convert to fraction form
    409.25/613.78 = 145.70/x
  3. Step 3: Cross multiply
    409.25x = 613.78 × 145.70
  4. Step 4: Simplify right side
    409.25x = 89,426.61
  5. Step 5: Solve for x
    x = 89,426.61/409.25
  6. Step 6: Final answer
    x = 218.51

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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.