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Finding the Fourth Proportional to 409.70, 565.41 and 243.92

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Solution

The fourth proportional to 409.70, 565.41 and 243.92 is: 336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 565.41 = 243.92 : x
  2. Step 2: Convert to fraction form
    409.70/565.41 = 243.92/x
  3. Step 3: Cross multiply
    409.70x = 565.41 × 243.92
  4. Step 4: Simplify right side
    409.70x = 137,914.81
  5. Step 5: Solve for x
    x = 137,914.81/409.70
  6. Step 6: Final answer
    x = 336.62

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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.