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Finding the Fourth Proportional to 417.86, 576.81 and 406.82

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Solution

The fourth proportional to 417.86, 576.81 and 406.82 is: 561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 576.81 = 406.82 : x
  2. Step 2: Convert to fraction form
    417.86/576.81 = 406.82/x
  3. Step 3: Cross multiply
    417.86x = 576.81 × 406.82
  4. Step 4: Simplify right side
    417.86x = 234,657.84
  5. Step 5: Solve for x
    x = 234,657.84/417.86
  6. Step 6: Final answer
    x = 561.57

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