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Finding the Fourth Proportional to 417.53, 625.64 and 280.55

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Solution

The fourth proportional to 417.53, 625.64 and 280.55 is: 420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.53 : 625.64 = 280.55 : x
  2. Step 2: Convert to fraction form
    417.53/625.64 = 280.55/x
  3. Step 3: Cross multiply
    417.53x = 625.64 × 280.55
  4. Step 4: Simplify right side
    417.53x = 175,518.77
  5. Step 5: Solve for x
    x = 175,518.77/417.53
  6. Step 6: Final answer
    x = 420.38

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