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Finding the Fourth Proportional to 409.56, 565.20 and 243.90

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Solution

The fourth proportional to 409.56, 565.20 and 243.90 is: 336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 565.20 = 243.90 : x
  2. Step 2: Convert to fraction form
    409.56/565.20 = 243.90/x
  3. Step 3: Cross multiply
    409.56x = 565.20 × 243.90
  4. Step 4: Simplify right side
    409.56x = 137,852.28
  5. Step 5: Solve for x
    x = 137,852.28/409.56
  6. Step 6: Final answer
    x = 336.59

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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.