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Finding the Fourth Proportional to 329.92, 454.28 and 288.23

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Solution

The fourth proportional to 329.92, 454.28 and 288.23 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.92 : 454.28 = 288.23 : x
  2. Step 2: Convert to fraction form
    329.92/454.28 = 288.23/x
  3. Step 3: Cross multiply
    329.92x = 454.28 × 288.23
  4. Step 4: Simplify right side
    329.92x = 130,936.74
  5. Step 5: Solve for x
    x = 130,936.74/329.92
  6. Step 6: Final answer
    x = 396.88

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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.