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Finding the Fourth Proportional to 409.35, 564.87 and 243.62

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Solution

The fourth proportional to 409.35, 564.87 and 243.62 is: 336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.35 : 564.87 = 243.62 : x
  2. Step 2: Convert to fraction form
    409.35/564.87 = 243.62/x
  3. Step 3: Cross multiply
    409.35x = 564.87 × 243.62
  4. Step 4: Simplify right side
    409.35x = 137,612.01
  5. Step 5: Solve for x
    x = 137,612.01/409.35
  6. Step 6: Final answer
    x = 336.18

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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.