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Finding the Fourth Proportional to 338.13, 466.59 and 213.83

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Solution

The fourth proportional to 338.13, 466.59 and 213.83 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 466.59 = 213.83 : x
  2. Step 2: Convert to fraction form
    338.13/466.59 = 213.83/x
  3. Step 3: Cross multiply
    338.13x = 466.59 × 213.83
  4. Step 4: Simplify right side
    338.13x = 99,770.94
  5. Step 5: Solve for x
    x = 99,770.94/338.13
  6. Step 6: Final answer
    x = 295.07

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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.