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Finding the Fourth Proportional to 283.12, 424.66 and 77.70

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Solution

The fourth proportional to 283.12, 424.66 and 77.70 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.12 : 424.66 = 77.70 : x
  2. Step 2: Convert to fraction form
    283.12/424.66 = 77.70/x
  3. Step 3: Cross multiply
    283.12x = 424.66 × 77.70
  4. Step 4: Simplify right side
    283.12x = 32,996.08
  5. Step 5: Solve for x
    x = 32,996.08/283.12
  6. Step 6: Final answer
    x = 116.54

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