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Finding the Fourth Proportional to 408.53, 564.02 and 268.80

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Solution

The fourth proportional to 408.53, 564.02 and 268.80 is: 371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 564.02 = 268.80 : x
  2. Step 2: Convert to fraction form
    408.53/564.02 = 268.80/x
  3. Step 3: Cross multiply
    408.53x = 564.02 × 268.80
  4. Step 4: Simplify right side
    408.53x = 151,607.23
  5. Step 5: Solve for x
    x = 151,607.23/408.53
  6. Step 6: Final answer
    x = 371.11

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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.