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Finding the Fourth Proportional to 409.52, 565.14 and 243.72

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Solution

The fourth proportional to 409.52, 565.14 and 243.72 is: 336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 565.14 = 243.72 : x
  2. Step 2: Convert to fraction form
    409.52/565.14 = 243.72/x
  3. Step 3: Cross multiply
    409.52x = 565.14 × 243.72
  4. Step 4: Simplify right side
    409.52x = 137,735.92
  5. Step 5: Solve for x
    x = 137,735.92/409.52
  6. Step 6: Final answer
    x = 336.34

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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.