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Finding the Fourth Proportional to 359.55, 538.62 and 282.13

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Solution

The fourth proportional to 359.55, 538.62 and 282.13 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.55 : 538.62 = 282.13 : x
  2. Step 2: Convert to fraction form
    359.55/538.62 = 282.13/x
  3. Step 3: Cross multiply
    359.55x = 538.62 × 282.13
  4. Step 4: Simplify right side
    359.55x = 151,961.53
  5. Step 5: Solve for x
    x = 151,961.53/359.55
  6. Step 6: Final answer
    x = 422.64

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