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Finding the Fourth Proportional to 409.92, 565.65 and 235.23

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Solution

The fourth proportional to 409.92, 565.65 and 235.23 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 565.65 = 235.23 : x
  2. Step 2: Convert to fraction form
    409.92/565.65 = 235.23/x
  3. Step 3: Cross multiply
    409.92x = 565.65 × 235.23
  4. Step 4: Simplify right side
    409.92x = 133,057.85
  5. Step 5: Solve for x
    x = 133,057.85/409.92
  6. Step 6: Final answer
    x = 324.59

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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.