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Finding the Fourth Proportional to 608.27, 839.32 and 342.70

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Solution

The fourth proportional to 608.27, 839.32 and 342.70 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.27 : 839.32 = 342.70 : x
  2. Step 2: Convert to fraction form
    608.27/839.32 = 342.70/x
  3. Step 3: Cross multiply
    608.27x = 839.32 × 342.70
  4. Step 4: Simplify right side
    608.27x = 287,632.01
  5. Step 5: Solve for x
    x = 287,632.01/608.27
  6. Step 6: Final answer
    x = 472.87

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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.