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Finding the Fourth Proportional to 608.71, 839.94 and 343.11

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Solution

The fourth proportional to 608.71, 839.94 and 343.11 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.71 : 839.94 = 343.11 : x
  2. Step 2: Convert to fraction form
    608.71/839.94 = 343.11/x
  3. Step 3: Cross multiply
    608.71x = 839.94 × 343.11
  4. Step 4: Simplify right side
    608.71x = 288,191.81
  5. Step 5: Solve for x
    x = 288,191.81/608.71
  6. Step 6: Final answer
    x = 473.45

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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.