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Finding the Fourth Proportional to 393.71, 590.81 and 342.27

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Solution

The fourth proportional to 393.71, 590.81 and 342.27 is: 513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.71 : 590.81 = 342.27 : x
  2. Step 2: Convert to fraction form
    393.71/590.81 = 342.27/x
  3. Step 3: Cross multiply
    393.71x = 590.81 × 342.27
  4. Step 4: Simplify right side
    393.71x = 202,214.83
  5. Step 5: Solve for x
    x = 202,214.83/393.71
  6. Step 6: Final answer
    x = 513.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.