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Finding the Fourth Proportional to 506, 698.28 and 284.96

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Solution

The fourth proportional to 506, 698.28 and 284.96 is: 393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 698.28 = 284.96 : x
  2. Step 2: Convert to fraction form
    506/698.28 = 284.96/x
  3. Step 3: Cross multiply
    506x = 698.28 × 284.96
  4. Step 4: Simplify right side
    506x = 198,981.87
  5. Step 5: Solve for x
    x = 198,981.87/506
  6. Step 6: Final answer
    x = 393.24

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