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Finding the Fourth Proportional to 498.24, 686.97 and 419.85

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Solution

The fourth proportional to 498.24, 686.97 and 419.85 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 686.97 = 419.85 : x
  2. Step 2: Convert to fraction form
    498.24/686.97 = 419.85/x
  3. Step 3: Cross multiply
    498.24x = 686.97 × 419.85
  4. Step 4: Simplify right side
    498.24x = 288,424.35
  5. Step 5: Solve for x
    x = 288,424.35/498.24
  6. Step 6: Final answer
    x = 578.89

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