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Finding the Fourth Proportional to 451.62, 623.25 and 255.14

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Solution

The fourth proportional to 451.62, 623.25 and 255.14 is: 352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 623.25 = 255.14 : x
  2. Step 2: Convert to fraction form
    451.62/623.25 = 255.14/x
  3. Step 3: Cross multiply
    451.62x = 623.25 × 255.14
  4. Step 4: Simplify right side
    451.62x = 159,012.89
  5. Step 5: Solve for x
    x = 159,012.89/451.62
  6. Step 6: Final answer
    x = 352.09

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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.