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Finding the Fourth Proportional to 312.28, 430.56 and 270.28

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Solution

The fourth proportional to 312.28, 430.56 and 270.28 is: 372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 430.56 = 270.28 : x
  2. Step 2: Convert to fraction form
    312.28/430.56 = 270.28/x
  3. Step 3: Cross multiply
    312.28x = 430.56 × 270.28
  4. Step 4: Simplify right side
    312.28x = 116,371.76
  5. Step 5: Solve for x
    x = 116,371.76/312.28
  6. Step 6: Final answer
    x = 372.65

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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.