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Finding the Fourth Proportional to 306.78, 423.84 and 237.03

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Solution

The fourth proportional to 306.78, 423.84 and 237.03 is: 327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 423.84 = 237.03 : x
  2. Step 2: Convert to fraction form
    306.78/423.84 = 237.03/x
  3. Step 3: Cross multiply
    306.78x = 423.84 × 237.03
  4. Step 4: Simplify right side
    306.78x = 100,462.80
  5. Step 5: Solve for x
    x = 100,462.80/306.78
  6. Step 6: Final answer
    x = 327.48

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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.