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Finding the Fourth Proportional to 451.67, 623.30 and 255.24

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Solution

The fourth proportional to 451.67, 623.30 and 255.24 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.67 : 623.30 = 255.24 : x
  2. Step 2: Convert to fraction form
    451.67/623.30 = 255.24/x
  3. Step 3: Cross multiply
    451.67x = 623.30 × 255.24
  4. Step 4: Simplify right side
    451.67x = 159,089.82
  5. Step 5: Solve for x
    x = 159,089.82/451.67
  6. Step 6: Final answer
    x = 352.23

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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.