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Finding the Fourth Proportional to 409.68, 614.04 and 294.40

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Solution

The fourth proportional to 409.68, 614.04 and 294.40 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 614.04 = 294.40 : x
  2. Step 2: Convert to fraction form
    409.68/614.04 = 294.40/x
  3. Step 3: Cross multiply
    409.68x = 614.04 × 294.40
  4. Step 4: Simplify right side
    409.68x = 180,773.38
  5. Step 5: Solve for x
    x = 180,773.38/409.68
  6. Step 6: Final answer
    x = 441.26

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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.