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Finding the Fourth Proportional to 319.84, 480 and 175.68

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Solution

The fourth proportional to 319.84, 480 and 175.68 is: 263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.84 : 480 = 175.68 : x
  2. Step 2: Convert to fraction form
    319.84/480 = 175.68/x
  3. Step 3: Cross multiply
    319.84x = 480 × 175.68
  4. Step 4: Simplify right side
    319.84x = 84,326.40
  5. Step 5: Solve for x
    x = 84,326.40/319.84
  6. Step 6: Final answer
    x = 263.65

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