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Finding the Fourth Proportional to 306.32, 422.44 and 228.56

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Solution

The fourth proportional to 306.32, 422.44 and 228.56 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 422.44 = 228.56 : x
  2. Step 2: Convert to fraction form
    306.32/422.44 = 228.56/x
  3. Step 3: Cross multiply
    306.32x = 422.44 × 228.56
  4. Step 4: Simplify right side
    306.32x = 96,552.89
  5. Step 5: Solve for x
    x = 96,552.89/306.32
  6. Step 6: Final answer
    x = 315.20

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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.