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Finding the Fourth Proportional to 408.42, 563.40 and 284.22

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Solution

The fourth proportional to 408.42, 563.40 and 284.22 is: 392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 563.40 = 284.22 : x
  2. Step 2: Convert to fraction form
    408.42/563.40 = 284.22/x
  3. Step 3: Cross multiply
    408.42x = 563.40 × 284.22
  4. Step 4: Simplify right side
    408.42x = 160,129.55
  5. Step 5: Solve for x
    x = 160,129.55/408.42
  6. Step 6: Final answer
    x = 392.07

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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.