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Finding the Fourth Proportional to 408.90, 564.23 and 243.06

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Solution

The fourth proportional to 408.90, 564.23 and 243.06 is: 335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 564.23 = 243.06 : x
  2. Step 2: Convert to fraction form
    408.90/564.23 = 243.06/x
  3. Step 3: Cross multiply
    408.90x = 564.23 × 243.06
  4. Step 4: Simplify right side
    408.90x = 137,140.24
  5. Step 5: Solve for x
    x = 137,140.24/408.90
  6. Step 6: Final answer
    x = 335.39

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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.