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Finding the Fourth Proportional to 408.46, 563.53 and 231.40

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Solution

The fourth proportional to 408.46, 563.53 and 231.40 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.46 : 563.53 = 231.40 : x
  2. Step 2: Convert to fraction form
    408.46/563.53 = 231.40/x
  3. Step 3: Cross multiply
    408.46x = 563.53 × 231.40
  4. Step 4: Simplify right side
    408.46x = 130,400.84
  5. Step 5: Solve for x
    x = 130,400.84/408.46
  6. Step 6: Final answer
    x = 319.25

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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.