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Finding the Fourth Proportional to 418.86, 578.19 and 407.82

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Solution

The fourth proportional to 418.86, 578.19 and 407.82 is: 562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 578.19 = 407.82 : x
  2. Step 2: Convert to fraction form
    418.86/578.19 = 407.82/x
  3. Step 3: Cross multiply
    418.86x = 578.19 × 407.82
  4. Step 4: Simplify right side
    418.86x = 235,797.45
  5. Step 5: Solve for x
    x = 235,797.45/418.86
  6. Step 6: Final answer
    x = 562.95

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