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Finding the Fourth Proportional to 493.84, 740.32 and 169.16

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Solution

The fourth proportional to 493.84, 740.32 and 169.16 is: 253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 740.32 = 169.16 : x
  2. Step 2: Convert to fraction form
    493.84/740.32 = 169.16/x
  3. Step 3: Cross multiply
    493.84x = 740.32 × 169.16
  4. Step 4: Simplify right side
    493.84x = 125,232.53
  5. Step 5: Solve for x
    x = 125,232.53/493.84
  6. Step 6: Final answer
    x = 253.59

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