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Finding the Fourth Proportional to 608.73, 839.99 and 360

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Solution

The fourth proportional to 608.73, 839.99 and 360 is: 496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.73 : 839.99 = 360 : x
  2. Step 2: Convert to fraction form
    608.73/839.99 = 360/x
  3. Step 3: Cross multiply
    608.73x = 839.99 × 360
  4. Step 4: Simplify right side
    608.73x = 302,394.60
  5. Step 5: Solve for x
    x = 302,394.60/608.73
  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.