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Finding the Fourth Proportional to 409.39, 614.12 and 353.99

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Solution

The fourth proportional to 409.39, 614.12 and 353.99 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.39 : 614.12 = 353.99 : x
  2. Step 2: Convert to fraction form
    409.39/614.12 = 353.99/x
  3. Step 3: Cross multiply
    409.39x = 614.12 × 353.99
  4. Step 4: Simplify right side
    409.39x = 217,392.34
  5. Step 5: Solve for x
    x = 217,392.34/409.39
  6. Step 6: Final answer
    x = 531.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.