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Finding the Fourth Proportional to 598.82, 898.59 and 415.86

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Solution

The fourth proportional to 598.82, 898.59 and 415.86 is: 624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.82 : 898.59 = 415.86 : x
  2. Step 2: Convert to fraction form
    598.82/898.59 = 415.86/x
  3. Step 3: Cross multiply
    598.82x = 898.59 × 415.86
  4. Step 4: Simplify right side
    598.82x = 373,687.64
  5. Step 5: Solve for x
    x = 373,687.64/598.82
  6. Step 6: Final answer
    x = 624.05

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