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Finding the Fourth Proportional to 308.28, 460.23 and 296.76

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Solution

The fourth proportional to 308.28, 460.23 and 296.76 is: 443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.28 : 460.23 = 296.76 : x
  2. Step 2: Convert to fraction form
    308.28/460.23 = 296.76/x
  3. Step 3: Cross multiply
    308.28x = 460.23 × 296.76
  4. Step 4: Simplify right side
    308.28x = 136,577.85
  5. Step 5: Solve for x
    x = 136,577.85/308.28
  6. Step 6: Final answer
    x = 443.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.