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Finding the Fourth Proportional to 608.39, 839.57 and 359.83

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Solution

The fourth proportional to 608.39, 839.57 and 359.83 is: 496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.39 : 839.57 = 359.83 : x
  2. Step 2: Convert to fraction form
    608.39/839.57 = 359.83/x
  3. Step 3: Cross multiply
    608.39x = 839.57 × 359.83
  4. Step 4: Simplify right side
    608.39x = 302,098.28
  5. Step 5: Solve for x
    x = 302,098.28/608.39
  6. Step 6: Final answer
    x = 496.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.