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Finding the Fourth Proportional to 408.22, 564.33 and 342.70

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Solution

The fourth proportional to 408.22, 564.33 and 342.70 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.22 : 564.33 = 342.70 : x
  2. Step 2: Convert to fraction form
    408.22/564.33 = 342.70/x
  3. Step 3: Cross multiply
    408.22x = 564.33 × 342.70
  4. Step 4: Simplify right side
    408.22x = 193,395.89
  5. Step 5: Solve for x
    x = 193,395.89/408.22
  6. Step 6: Final answer
    x = 473.75

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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.