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Finding the Fourth Proportional to 306.65, 423.01 and 232.85

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Solution

The fourth proportional to 306.65, 423.01 and 232.85 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 423.01 = 232.85 : x
  2. Step 2: Convert to fraction form
    306.65/423.01 = 232.85/x
  3. Step 3: Cross multiply
    306.65x = 423.01 × 232.85
  4. Step 4: Simplify right side
    306.65x = 98,497.88
  5. Step 5: Solve for x
    x = 98,497.88/306.65
  6. Step 6: Final answer
    x = 321.21

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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.