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Finding the Fourth Proportional to 409.69, 565.23 and 243.91

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Solution

The fourth proportional to 409.69, 565.23 and 243.91 is: 336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 565.23 = 243.91 : x
  2. Step 2: Convert to fraction form
    409.69/565.23 = 243.91/x
  3. Step 3: Cross multiply
    409.69x = 565.23 × 243.91
  4. Step 4: Simplify right side
    409.69x = 137,865.25
  5. Step 5: Solve for x
    x = 137,865.25/409.69
  6. Step 6: Final answer
    x = 336.51

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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.