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Finding the Fourth Proportional to 409.64, 565.41 and 252.38

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Solution

The fourth proportional to 409.64, 565.41 and 252.38 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 565.41 = 252.38 : x
  2. Step 2: Convert to fraction form
    409.64/565.41 = 252.38/x
  3. Step 3: Cross multiply
    409.64x = 565.41 × 252.38
  4. Step 4: Simplify right side
    409.64x = 142,700.54
  5. Step 5: Solve for x
    x = 142,700.54/409.64
  6. Step 6: Final answer
    x = 348.36

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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.