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Finding the Fourth Proportional to 451.98, 623.75 and 255.49

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Solution

The fourth proportional to 451.98, 623.75 and 255.49 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 623.75 = 255.49 : x
  2. Step 2: Convert to fraction form
    451.98/623.75 = 255.49/x
  3. Step 3: Cross multiply
    451.98x = 623.75 × 255.49
  4. Step 4: Simplify right side
    451.98x = 159,361.89
  5. Step 5: Solve for x
    x = 159,361.89/451.98
  6. Step 6: Final answer
    x = 352.59

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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.