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Finding the Fourth Proportional to 409.32, 614.07 and 319.14

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Solution

The fourth proportional to 409.32, 614.07 and 319.14 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 614.07 = 319.14 : x
  2. Step 2: Convert to fraction form
    409.32/614.07 = 319.14/x
  3. Step 3: Cross multiply
    409.32x = 614.07 × 319.14
  4. Step 4: Simplify right side
    409.32x = 195,974.30
  5. Step 5: Solve for x
    x = 195,974.30/409.32
  6. Step 6: Final answer
    x = 478.78

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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.