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Finding the Fourth Proportional to 463.90, 695.25 and 220.09

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Solution

The fourth proportional to 463.90, 695.25 and 220.09 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 695.25 = 220.09 : x
  2. Step 2: Convert to fraction form
    463.90/695.25 = 220.09/x
  3. Step 3: Cross multiply
    463.90x = 695.25 × 220.09
  4. Step 4: Simplify right side
    463.90x = 153,017.57
  5. Step 5: Solve for x
    x = 153,017.57/463.90
  6. Step 6: Final answer
    x = 329.85

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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.