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Finding the Fourth Proportional to 338.93, 468.10 and 234.34

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Solution

The fourth proportional to 338.93, 468.10 and 234.34 is: 323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 468.10 = 234.34 : x
  2. Step 2: Convert to fraction form
    338.93/468.10 = 234.34/x
  3. Step 3: Cross multiply
    338.93x = 468.10 × 234.34
  4. Step 4: Simplify right side
    338.93x = 109,696.97
  5. Step 5: Solve for x
    x = 109,696.97/338.93
  6. Step 6: Final answer
    x = 323.65

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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.