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Finding the Fourth Proportional to 349.28, 480.91 and 296.72

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Solution

The fourth proportional to 349.28, 480.91 and 296.72 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.28 : 480.91 = 296.72 : x
  2. Step 2: Convert to fraction form
    349.28/480.91 = 296.72/x
  3. Step 3: Cross multiply
    349.28x = 480.91 × 296.72
  4. Step 4: Simplify right side
    349.28x = 142,695.62
  5. Step 5: Solve for x
    x = 142,695.62/349.28
  6. Step 6: Final answer
    x = 408.54

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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.