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Finding the Fourth Proportional to 608.22, 839.34 and 346.23

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Solution

The fourth proportional to 608.22, 839.34 and 346.23 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.22 : 839.34 = 346.23 : x
  2. Step 2: Convert to fraction form
    608.22/839.34 = 346.23/x
  3. Step 3: Cross multiply
    608.22x = 839.34 × 346.23
  4. Step 4: Simplify right side
    608.22x = 290,604.69
  5. Step 5: Solve for x
    x = 290,604.69/608.22
  6. Step 6: Final answer
    x = 477.80

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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.