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Finding the Fourth Proportional to 409.04, 564.71 and 276.49

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Solution

The fourth proportional to 409.04, 564.71 and 276.49 is: 381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 564.71 = 276.49 : x
  2. Step 2: Convert to fraction form
    409.04/564.71 = 276.49/x
  3. Step 3: Cross multiply
    409.04x = 564.71 × 276.49
  4. Step 4: Simplify right side
    409.04x = 156,136.67
  5. Step 5: Solve for x
    x = 156,136.67/409.04
  6. Step 6: Final answer
    x = 381.71

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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.