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Finding the Fourth Proportional to 338.61, 467.11 and 233.80

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Solution

The fourth proportional to 338.61, 467.11 and 233.80 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.11 = 233.80 : x
  2. Step 2: Convert to fraction form
    338.61/467.11 = 233.80/x
  3. Step 3: Cross multiply
    338.61x = 467.11 × 233.80
  4. Step 4: Simplify right side
    338.61x = 109,210.32
  5. Step 5: Solve for x
    x = 109,210.32/338.61
  6. Step 6: Final answer
    x = 322.53

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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.