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Finding the Fourth Proportional to 408.65, 563.65 and 284.35

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Solution

The fourth proportional to 408.65, 563.65 and 284.35 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 563.65 = 284.35 : x
  2. Step 2: Convert to fraction form
    408.65/563.65 = 284.35/x
  3. Step 3: Cross multiply
    408.65x = 563.65 × 284.35
  4. Step 4: Simplify right side
    408.65x = 160,273.88
  5. Step 5: Solve for x
    x = 160,273.88/408.65
  6. Step 6: Final answer
    x = 392.20

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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.