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Finding the Fourth Proportional to 409.92, 614.17 and 272.99

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Solution

The fourth proportional to 409.92, 614.17 and 272.99 is: 409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 614.17 = 272.99 : x
  2. Step 2: Convert to fraction form
    409.92/614.17 = 272.99/x
  3. Step 3: Cross multiply
    409.92x = 614.17 × 272.99
  4. Step 4: Simplify right side
    409.92x = 167,662.27
  5. Step 5: Solve for x
    x = 167,662.27/409.92
  6. Step 6: Final answer
    x = 409.01

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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.