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Finding the Fourth Proportional to 284.64, 392.47 and 205.93

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Solution

The fourth proportional to 284.64, 392.47 and 205.93 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 392.47 = 205.93 : x
  2. Step 2: Convert to fraction form
    284.64/392.47 = 205.93/x
  3. Step 3: Cross multiply
    284.64x = 392.47 × 205.93
  4. Step 4: Simplify right side
    284.64x = 80,821.35
  5. Step 5: Solve for x
    x = 80,821.35/284.64
  6. Step 6: Final answer
    x = 283.94

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