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Finding the Fourth Proportional to 409.87, 565.82 and 235.18

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Solution

The fourth proportional to 409.87, 565.82 and 235.18 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.87 : 565.82 = 235.18 : x
  2. Step 2: Convert to fraction form
    409.87/565.82 = 235.18/x
  3. Step 3: Cross multiply
    409.87x = 565.82 × 235.18
  4. Step 4: Simplify right side
    409.87x = 133,069.55
  5. Step 5: Solve for x
    x = 133,069.55/409.87
  6. Step 6: Final answer
    x = 324.66

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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.