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Finding the Fourth Proportional to 291.17, 401.04 and 217.37

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Solution

The fourth proportional to 291.17, 401.04 and 217.37 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.17 : 401.04 = 217.37 : x
  2. Step 2: Convert to fraction form
    291.17/401.04 = 217.37/x
  3. Step 3: Cross multiply
    291.17x = 401.04 × 217.37
  4. Step 4: Simplify right side
    291.17x = 87,175.07
  5. Step 5: Solve for x
    x = 87,175.07/291.17
  6. Step 6: Final answer
    x = 299.39

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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.