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Finding the Fourth Proportional to 608.31, 839.27 and 359.71

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Solution

The fourth proportional to 608.31, 839.27 and 359.71 is: 496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.31 : 839.27 = 359.71 : x
  2. Step 2: Convert to fraction form
    608.31/839.27 = 359.71/x
  3. Step 3: Cross multiply
    608.31x = 839.27 × 359.71
  4. Step 4: Simplify right side
    608.31x = 301,893.81
  5. Step 5: Solve for x
    x = 301,893.81/608.31
  6. Step 6: Final answer
    x = 496.28

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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.