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Finding the Fourth Proportional to 283.06, 424.54 and 77.65

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Solution

The fourth proportional to 283.06, 424.54 and 77.65 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.06 : 424.54 = 77.65 : x
  2. Step 2: Convert to fraction form
    283.06/424.54 = 77.65/x
  3. Step 3: Cross multiply
    283.06x = 424.54 × 77.65
  4. Step 4: Simplify right side
    283.06x = 32,965.53
  5. Step 5: Solve for x
    x = 32,965.53/283.06
  6. Step 6: Final answer
    x = 116.46

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