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Finding the Fourth Proportional to 409.85, 565.22 and 269.92

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Solution

The fourth proportional to 409.85, 565.22 and 269.92 is: 372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 565.22 = 269.92 : x
  2. Step 2: Convert to fraction form
    409.85/565.22 = 269.92/x
  3. Step 3: Cross multiply
    409.85x = 565.22 × 269.92
  4. Step 4: Simplify right side
    409.85x = 152,564.18
  5. Step 5: Solve for x
    x = 152,564.18/409.85
  6. Step 6: Final answer
    x = 372.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.