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Finding the Fourth Proportional to 338.41, 510.40 and 327.46

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Solution

The fourth proportional to 338.41, 510.40 and 327.46 is: 493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.41 : 510.40 = 327.46 : x
  2. Step 2: Convert to fraction form
    338.41/510.40 = 327.46/x
  3. Step 3: Cross multiply
    338.41x = 510.40 × 327.46
  4. Step 4: Simplify right side
    338.41x = 167,135.58
  5. Step 5: Solve for x
    x = 167,135.58/338.41
  6. Step 6: Final answer
    x = 493.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.