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Finding the Fourth Proportional to 464.76, 696.42 and 361.80

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Solution

The fourth proportional to 464.76, 696.42 and 361.80 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 696.42 = 361.80 : x
  2. Step 2: Convert to fraction form
    464.76/696.42 = 361.80/x
  3. Step 3: Cross multiply
    464.76x = 696.42 × 361.80
  4. Step 4: Simplify right side
    464.76x = 251,964.76
  5. Step 5: Solve for x
    x = 251,964.76/464.76
  6. Step 6: Final answer
    x = 542.14

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