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Finding the Fourth Proportional to 463.42, 695.13 and 382.83

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Solution

The fourth proportional to 463.42, 695.13 and 382.83 is: 574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.42 : 695.13 = 382.83 : x
  2. Step 2: Convert to fraction form
    463.42/695.13 = 382.83/x
  3. Step 3: Cross multiply
    463.42x = 695.13 × 382.83
  4. Step 4: Simplify right side
    463.42x = 266,114.73
  5. Step 5: Solve for x
    x = 266,114.73/463.42
  6. Step 6: Final answer
    x = 574.24

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