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Finding the Fourth Proportional to 288.41, 397.98 and 267.53

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Solution

The fourth proportional to 288.41, 397.98 and 267.53 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.41 : 397.98 = 267.53 : x
  2. Step 2: Convert to fraction form
    288.41/397.98 = 267.53/x
  3. Step 3: Cross multiply
    288.41x = 397.98 × 267.53
  4. Step 4: Simplify right side
    288.41x = 106,469.60
  5. Step 5: Solve for x
    x = 106,469.60/288.41
  6. Step 6: Final answer
    x = 369.17

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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.