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Finding the Fourth Proportional to 608.25, 839.35 and 359.56

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Solution

The fourth proportional to 608.25, 839.35 and 359.56 is: 496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.25 : 839.35 = 359.56 : x
  2. Step 2: Convert to fraction form
    608.25/839.35 = 359.56/x
  3. Step 3: Cross multiply
    608.25x = 839.35 × 359.56
  4. Step 4: Simplify right side
    608.25x = 301,796.69
  5. Step 5: Solve for x
    x = 301,796.69/608.25
  6. Step 6: Final answer
    x = 496.17

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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.