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Finding the Fourth Proportional to 306.67, 458.01 and 251.95

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Solution

The fourth proportional to 306.67, 458.01 and 251.95 is: 376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.67 : 458.01 = 251.95 : x
  2. Step 2: Convert to fraction form
    306.67/458.01 = 251.95/x
  3. Step 3: Cross multiply
    306.67x = 458.01 × 251.95
  4. Step 4: Simplify right side
    306.67x = 115,395.62
  5. Step 5: Solve for x
    x = 115,395.62/306.67
  6. Step 6: Final answer
    x = 376.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.