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Finding the Fourth Proportional to 312.68, 466.34 and 296.28

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Solution

The fourth proportional to 312.68, 466.34 and 296.28 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 466.34 = 296.28 : x
  2. Step 2: Convert to fraction form
    312.68/466.34 = 296.28/x
  3. Step 3: Cross multiply
    312.68x = 466.34 × 296.28
  4. Step 4: Simplify right side
    312.68x = 138,165.73
  5. Step 5: Solve for x
    x = 138,165.73/312.68
  6. Step 6: Final answer
    x = 441.88

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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.