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Finding the Fourth Proportional to 427.75, 642.33 and 323.66

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Solution

The fourth proportional to 427.75, 642.33 and 323.66 is: 486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 642.33 = 323.66 : x
  2. Step 2: Convert to fraction form
    427.75/642.33 = 323.66/x
  3. Step 3: Cross multiply
    427.75x = 642.33 × 323.66
  4. Step 4: Simplify right side
    427.75x = 207,898.13
  5. Step 5: Solve for x
    x = 207,898.13/427.75
  6. Step 6: Final answer
    x = 486.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.