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Finding the Fourth Proportional to 312.27, 429.95 and 296.88

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Solution

The fourth proportional to 312.27, 429.95 and 296.88 is: 408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.27 : 429.95 = 296.88 : x
  2. Step 2: Convert to fraction form
    312.27/429.95 = 296.88/x
  3. Step 3: Cross multiply
    312.27x = 429.95 × 296.88
  4. Step 4: Simplify right side
    312.27x = 127,643.56
  5. Step 5: Solve for x
    x = 127,643.56/312.27
  6. Step 6: Final answer
    x = 408.76

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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.