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Finding the Fourth Proportional to 291.25, 435.19 and 220.43

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Solution

The fourth proportional to 291.25, 435.19 and 220.43 is: 329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.25 : 435.19 = 220.43 : x
  2. Step 2: Convert to fraction form
    291.25/435.19 = 220.43/x
  3. Step 3: Cross multiply
    291.25x = 435.19 × 220.43
  4. Step 4: Simplify right side
    291.25x = 95,927.43
  5. Step 5: Solve for x
    x = 95,927.43/291.25
  6. Step 6: Final answer
    x = 329.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.