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Finding the Fourth Proportional to 291.35, 401.89 and 229.08

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Solution

The fourth proportional to 291.35, 401.89 and 229.08 is: 315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.35 : 401.89 = 229.08 : x
  2. Step 2: Convert to fraction form
    291.35/401.89 = 229.08/x
  3. Step 3: Cross multiply
    291.35x = 401.89 × 229.08
  4. Step 4: Simplify right side
    291.35x = 92,063.82
  5. Step 5: Solve for x
    x = 92,063.82/291.35
  6. Step 6: Final answer
    x = 315.99

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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.