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Finding the Fourth Proportional to 608.50, 839.73 and 359.97

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Solution

The fourth proportional to 608.50, 839.73 and 359.97 is: 496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.50 : 839.73 = 359.97 : x
  2. Step 2: Convert to fraction form
    608.50/839.73 = 359.97/x
  3. Step 3: Cross multiply
    608.50x = 839.73 × 359.97
  4. Step 4: Simplify right side
    608.50x = 302,277.61
  5. Step 5: Solve for x
    x = 302,277.61/608.50
  6. Step 6: Final answer
    x = 496.76

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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.