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Finding the Fourth Proportional to 451.74, 623.40 and 255.23

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Solution

The fourth proportional to 451.74, 623.40 and 255.23 is: 352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 623.40 = 255.23 : x
  2. Step 2: Convert to fraction form
    451.74/623.40 = 255.23/x
  3. Step 3: Cross multiply
    451.74x = 623.40 × 255.23
  4. Step 4: Simplify right side
    451.74x = 159,112.15
  5. Step 5: Solve for x
    x = 159,112.15/451.74
  6. Step 6: Final answer
    x = 352.22

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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.