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Finding the Fourth Proportional to 414.53, 621.89 and 195.29

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Solution

The fourth proportional to 414.53, 621.89 and 195.29 is: 292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.53 : 621.89 = 195.29 : x
  2. Step 2: Convert to fraction form
    414.53/621.89 = 195.29/x
  3. Step 3: Cross multiply
    414.53x = 621.89 × 195.29
  4. Step 4: Simplify right side
    414.53x = 121,448.90
  5. Step 5: Solve for x
    x = 121,448.90/414.53
  6. Step 6: Final answer
    x = 292.98

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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.