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Finding the Fourth Proportional to 338.52, 466.92 and 233.65

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Solution

The fourth proportional to 338.52, 466.92 and 233.65 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 466.92 = 233.65 : x
  2. Step 2: Convert to fraction form
    338.52/466.92 = 233.65/x
  3. Step 3: Cross multiply
    338.52x = 466.92 × 233.65
  4. Step 4: Simplify right side
    338.52x = 109,095.86
  5. Step 5: Solve for x
    x = 109,095.86/338.52
  6. Step 6: Final answer
    x = 322.27

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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.