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Finding the Fourth Proportional to 409.20, 611.07 and 404.95

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Solution

The fourth proportional to 409.20, 611.07 and 404.95 is: 604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.20 : 611.07 = 404.95 : x
  2. Step 2: Convert to fraction form
    409.20/611.07 = 404.95/x
  3. Step 3: Cross multiply
    409.20x = 611.07 × 404.95
  4. Step 4: Simplify right side
    409.20x = 247,451.27
  5. Step 5: Solve for x
    x = 247,451.27/409.20
  6. Step 6: Final answer
    x = 604.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.