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Finding the Fourth Proportional to 338.66, 508.42 and 217.46

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Solution

The fourth proportional to 338.66, 508.42 and 217.46 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.66 : 508.42 = 217.46 : x
  2. Step 2: Convert to fraction form
    338.66/508.42 = 217.46/x
  3. Step 3: Cross multiply
    338.66x = 508.42 × 217.46
  4. Step 4: Simplify right side
    338.66x = 110,561.01
  5. Step 5: Solve for x
    x = 110,561.01/338.66
  6. Step 6: Final answer
    x = 326.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.