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Finding the Fourth Proportional to 408.47, 563.75 and 284.06

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Solution

The fourth proportional to 408.47, 563.75 and 284.06 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 563.75 = 284.06 : x
  2. Step 2: Convert to fraction form
    408.47/563.75 = 284.06/x
  3. Step 3: Cross multiply
    408.47x = 563.75 × 284.06
  4. Step 4: Simplify right side
    408.47x = 160,137.40
  5. Step 5: Solve for x
    x = 160,137.40/408.47
  6. Step 6: Final answer
    x = 392.04

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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.