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Finding the Fourth Proportional to 338.57, 467.00 and 233.66

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Solution

The fourth proportional to 338.57, 467.00 and 233.66 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.57 : 467.00 = 233.66 : x
  2. Step 2: Convert to fraction form
    338.57/467.00 = 233.66/x
  3. Step 3: Cross multiply
    338.57x = 467.00 × 233.66
  4. Step 4: Simplify right side
    338.57x = 109,115.72
  5. Step 5: Solve for x
    x = 109,115.72/338.57
  6. Step 6: Final answer
    x = 322.29

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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.