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Finding the Fourth Proportional to 409.94, 566.43 and 371.24

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Solution

The fourth proportional to 409.94, 566.43 and 371.24 is: 512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 566.43 = 371.24 : x
  2. Step 2: Convert to fraction form
    409.94/566.43 = 371.24/x
  3. Step 3: Cross multiply
    409.94x = 566.43 × 371.24
  4. Step 4: Simplify right side
    409.94x = 210,282.89
  5. Step 5: Solve for x
    x = 210,282.89/409.94
  6. Step 6: Final answer
    x = 512.97

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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.