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Finding the Fourth Proportional to 417.76, 626.78 and 174.40

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Solution

The fourth proportional to 417.76, 626.78 and 174.40 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 626.78 = 174.40 : x
  2. Step 2: Convert to fraction form
    417.76/626.78 = 174.40/x
  3. Step 3: Cross multiply
    417.76x = 626.78 × 174.40
  4. Step 4: Simplify right side
    417.76x = 109,310.43
  5. Step 5: Solve for x
    x = 109,310.43/417.76
  6. Step 6: Final answer
    x = 261.66

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