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Finding the Fourth Proportional to 409.65, 565.17 and 252.20

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Solution

The fourth proportional to 409.65, 565.17 and 252.20 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 565.17 = 252.20 : x
  2. Step 2: Convert to fraction form
    409.65/565.17 = 252.20/x
  3. Step 3: Cross multiply
    409.65x = 565.17 × 252.20
  4. Step 4: Simplify right side
    409.65x = 142,535.87
  5. Step 5: Solve for x
    x = 142,535.87/409.65
  6. Step 6: Final answer
    x = 347.95

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Why These Related Problems?

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