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Finding the Fourth Proportional to 338.93, 507.68 and 257.52

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Solution

The fourth proportional to 338.93, 507.68 and 257.52 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 507.68 = 257.52 : x
  2. Step 2: Convert to fraction form
    338.93/507.68 = 257.52/x
  3. Step 3: Cross multiply
    338.93x = 507.68 × 257.52
  4. Step 4: Simplify right side
    338.93x = 130,737.75
  5. Step 5: Solve for x
    x = 130,737.75/338.93
  6. Step 6: Final answer
    x = 385.74

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