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Finding the Fourth Proportional to 334.80, 502.56 and 219.60

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Solution

The fourth proportional to 334.80, 502.56 and 219.60 is: 329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 502.56 = 219.60 : x
  2. Step 2: Convert to fraction form
    334.80/502.56 = 219.60/x
  3. Step 3: Cross multiply
    334.80x = 502.56 × 219.60
  4. Step 4: Simplify right side
    334.80x = 110,362.18
  5. Step 5: Solve for x
    x = 110,362.18/334.80
  6. Step 6: Final answer
    x = 329.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.