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Finding the Fourth Proportional to 291.97, 435.37 and 272.11

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Solution

The fourth proportional to 291.97, 435.37 and 272.11 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 435.37 = 272.11 : x
  2. Step 2: Convert to fraction form
    291.97/435.37 = 272.11/x
  3. Step 3: Cross multiply
    291.97x = 435.37 × 272.11
  4. Step 4: Simplify right side
    291.97x = 118,469.21
  5. Step 5: Solve for x
    x = 118,469.21/291.97
  6. Step 6: Final answer
    x = 405.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.