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Finding the Fourth Proportional to 338.86, 507.38 and 278.72

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Solution

The fourth proportional to 338.86, 507.38 and 278.72 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.86 : 507.38 = 278.72 : x
  2. Step 2: Convert to fraction form
    338.86/507.38 = 278.72/x
  3. Step 3: Cross multiply
    338.86x = 507.38 × 278.72
  4. Step 4: Simplify right side
    338.86x = 141,413.02
  5. Step 5: Solve for x
    x = 141,413.02/338.86
  6. Step 6: Final answer
    x = 417.32

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