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Finding the Fourth Proportional to 409.11, 563.97 and 284.58

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Solution

The fourth proportional to 409.11, 563.97 and 284.58 is: 392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.11 : 563.97 = 284.58 : x
  2. Step 2: Convert to fraction form
    409.11/563.97 = 284.58/x
  3. Step 3: Cross multiply
    409.11x = 563.97 × 284.58
  4. Step 4: Simplify right side
    409.11x = 160,494.58
  5. Step 5: Solve for x
    x = 160,494.58/409.11
  6. Step 6: Final answer
    x = 392.30

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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.