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Finding the Fourth Proportional to 338.22, 468.62 and 332.97

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Solution

The fourth proportional to 338.22, 468.62 and 332.97 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 468.62 = 332.97 : x
  2. Step 2: Convert to fraction form
    338.22/468.62 = 332.97/x
  3. Step 3: Cross multiply
    338.22x = 468.62 × 332.97
  4. Step 4: Simplify right side
    338.22x = 156,034.74
  5. Step 5: Solve for x
    x = 156,034.74/338.22
  6. Step 6: Final answer
    x = 461.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.