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Finding the Fourth Proportional to 306.32, 422.03 and 278.99

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Solution

The fourth proportional to 306.32, 422.03 and 278.99 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 422.03 = 278.99 : x
  2. Step 2: Convert to fraction form
    306.32/422.03 = 278.99/x
  3. Step 3: Cross multiply
    306.32x = 422.03 × 278.99
  4. Step 4: Simplify right side
    306.32x = 117,740.74
  5. Step 5: Solve for x
    x = 117,740.74/306.32
  6. Step 6: Final answer
    x = 384.37

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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.