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Finding the Fourth Proportional to 338.24, 466.54 and 243.52

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Solution

The fourth proportional to 338.24, 466.54 and 243.52 is: 335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 466.54 = 243.52 : x
  2. Step 2: Convert to fraction form
    338.24/466.54 = 243.52/x
  3. Step 3: Cross multiply
    338.24x = 466.54 × 243.52
  4. Step 4: Simplify right side
    338.24x = 113,611.82
  5. Step 5: Solve for x
    x = 113,611.82/338.24
  6. Step 6: Final answer
    x = 335.89

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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.