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Finding the Fourth Proportional to 608.69, 839.95 and 343.17

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Solution

The fourth proportional to 608.69, 839.95 and 343.17 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.69 : 839.95 = 343.17 : x
  2. Step 2: Convert to fraction form
    608.69/839.95 = 343.17/x
  3. Step 3: Cross multiply
    608.69x = 839.95 × 343.17
  4. Step 4: Simplify right side
    608.69x = 288,245.64
  5. Step 5: Solve for x
    x = 288,245.64/608.69
  6. Step 6: Final answer
    x = 473.55

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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.