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Finding the Fourth Proportional to 435.80, 653.78 and 219.32

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Solution

The fourth proportional to 435.80, 653.78 and 219.32 is: 329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.80 : 653.78 = 219.32 : x
  2. Step 2: Convert to fraction form
    435.80/653.78 = 219.32/x
  3. Step 3: Cross multiply
    435.80x = 653.78 × 219.32
  4. Step 4: Simplify right side
    435.80x = 143,387.03
  5. Step 5: Solve for x
    x = 143,387.03/435.80
  6. Step 6: Final answer
    x = 329.02

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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.