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Finding the Fourth Proportional to 524.19, 784.41 and 493.05

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Solution

The fourth proportional to 524.19, 784.41 and 493.05 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 784.41 = 493.05 : x
  2. Step 2: Convert to fraction form
    524.19/784.41 = 493.05/x
  3. Step 3: Cross multiply
    524.19x = 784.41 × 493.05
  4. Step 4: Simplify right side
    524.19x = 386,753.35
  5. Step 5: Solve for x
    x = 386,753.35/524.19
  6. Step 6: Final answer
    x = 737.81

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