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Finding the Fourth Proportional to 409.87, 614.94 and 178.79

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Solution

The fourth proportional to 409.87, 614.94 and 178.79 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.87 : 614.94 = 178.79 : x
  2. Step 2: Convert to fraction form
    409.87/614.94 = 178.79/x
  3. Step 3: Cross multiply
    409.87x = 614.94 × 178.79
  4. Step 4: Simplify right side
    409.87x = 109,948.44
  5. Step 5: Solve for x
    x = 109,948.44/409.87
  6. Step 6: Final answer
    x = 268.25

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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.