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Finding the Fourth Proportional to 364.24, 546.36 and 242.74

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Solution

The fourth proportional to 364.24, 546.36 and 242.74 is: 364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 546.36 = 242.74 : x
  2. Step 2: Convert to fraction form
    364.24/546.36 = 242.74/x
  3. Step 3: Cross multiply
    364.24x = 546.36 × 242.74
  4. Step 4: Simplify right side
    364.24x = 132,623.43
  5. Step 5: Solve for x
    x = 132,623.43/364.24
  6. Step 6: Final answer
    x = 364.11

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