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Finding the Fourth Proportional to 800.16, 1,199.58 and 252

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Solution

The fourth proportional to 800.16, 1,199.58 and 252 is: 377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,199.58 = 252 : x
  2. Step 2: Convert to fraction form
    800.16/1,199.58 = 252/x
  3. Step 3: Cross multiply
    800.16x = 1,199.58 × 252
  4. Step 4: Simplify right side
    800.16x = 302,294.16
  5. Step 5: Solve for x
    x = 302,294.16/800.16
  6. Step 6: Final answer
    x = 377.79

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