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Finding the Fourth Proportional to 323.12, 483.96 and 268.70

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Solution

The fourth proportional to 323.12, 483.96 and 268.70 is: 402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 483.96 = 268.70 : x
  2. Step 2: Convert to fraction form
    323.12/483.96 = 268.70/x
  3. Step 3: Cross multiply
    323.12x = 483.96 × 268.70
  4. Step 4: Simplify right side
    323.12x = 130,040.05
  5. Step 5: Solve for x
    x = 130,040.05/323.12
  6. Step 6: Final answer
    x = 402.45

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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.