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Finding the Fourth Proportional to 329.28, 490.88 and 292.80

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Solution

The fourth proportional to 329.28, 490.88 and 292.80 is: 436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.28 : 490.88 = 292.80 : x
  2. Step 2: Convert to fraction form
    329.28/490.88 = 292.80/x
  3. Step 3: Cross multiply
    329.28x = 490.88 × 292.80
  4. Step 4: Simplify right side
    329.28x = 143,729.66
  5. Step 5: Solve for x
    x = 143,729.66/329.28
  6. Step 6: Final answer
    x = 436.50

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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.