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Finding the Fourth Proportional to 435.52, 653.76 and 219.20

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Solution

The fourth proportional to 435.52, 653.76 and 219.20 is: 329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 653.76 = 219.20 : x
  2. Step 2: Convert to fraction form
    435.52/653.76 = 219.20/x
  3. Step 3: Cross multiply
    435.52x = 653.76 × 219.20
  4. Step 4: Simplify right side
    435.52x = 143,304.19
  5. Step 5: Solve for x
    x = 143,304.19/435.52
  6. Step 6: Final answer
    x = 329.04

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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.