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Finding the Fourth Proportional to 306.42, 423.02 and 251.28

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Solution

The fourth proportional to 306.42, 423.02 and 251.28 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 423.02 = 251.28 : x
  2. Step 2: Convert to fraction form
    306.42/423.02 = 251.28/x
  3. Step 3: Cross multiply
    306.42x = 423.02 × 251.28
  4. Step 4: Simplify right side
    306.42x = 106,295.21
  5. Step 5: Solve for x
    x = 106,295.21/306.42
  6. Step 6: Final answer
    x = 346.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.