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Finding the Fourth Proportional to 451.75, 623.46 and 252.65

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Solution

The fourth proportional to 451.75, 623.46 and 252.65 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 623.46 = 252.65 : x
  2. Step 2: Convert to fraction form
    451.75/623.46 = 252.65/x
  3. Step 3: Cross multiply
    451.75x = 623.46 × 252.65
  4. Step 4: Simplify right side
    451.75x = 157,517.17
  5. Step 5: Solve for x
    x = 157,517.17/451.75
  6. Step 6: Final answer
    x = 348.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.