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Finding the Fourth Proportional to 359.91, 538.45 and 257.24

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Solution

The fourth proportional to 359.91, 538.45 and 257.24 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 538.45 = 257.24 : x
  2. Step 2: Convert to fraction form
    359.91/538.45 = 257.24/x
  3. Step 3: Cross multiply
    359.91x = 538.45 × 257.24
  4. Step 4: Simplify right side
    359.91x = 138,511.58
  5. Step 5: Solve for x
    x = 138,511.58/359.91
  6. Step 6: Final answer
    x = 384.85

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