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Finding the Fourth Proportional to 505.86, 697.96 and 284.81

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Solution

The fourth proportional to 505.86, 697.96 and 284.81 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 697.96 = 284.81 : x
  2. Step 2: Convert to fraction form
    505.86/697.96 = 284.81/x
  3. Step 3: Cross multiply
    505.86x = 697.96 × 284.81
  4. Step 4: Simplify right side
    505.86x = 198,783.14
  5. Step 5: Solve for x
    x = 198,783.14/505.86
  6. Step 6: Final answer
    x = 392.96

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