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Finding the Fourth Proportional to 306.41, 460.62 and 237.96

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Solution

The fourth proportional to 306.41, 460.62 and 237.96 is: 357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 460.62 = 237.96 : x
  2. Step 2: Convert to fraction form
    306.41/460.62 = 237.96/x
  3. Step 3: Cross multiply
    306.41x = 460.62 × 237.96
  4. Step 4: Simplify right side
    306.41x = 109,609.14
  5. Step 5: Solve for x
    x = 109,609.14/306.41
  6. Step 6: Final answer
    x = 357.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.