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Finding the Fourth Proportional to 412.14, 568.69 and 235.11

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Solution

The fourth proportional to 412.14, 568.69 and 235.11 is: 324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.14 : 568.69 = 235.11 : x
  2. Step 2: Convert to fraction form
    412.14/568.69 = 235.11/x
  3. Step 3: Cross multiply
    412.14x = 568.69 × 235.11
  4. Step 4: Simplify right side
    412.14x = 133,704.71
  5. Step 5: Solve for x
    x = 133,704.71/412.14
  6. Step 6: Final answer
    x = 324.42

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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.