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Finding the Fourth Proportional to 589.87, 814 and 341.19

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Solution

The fourth proportional to 589.87, 814 and 341.19 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.87 : 814 = 341.19 : x
  2. Step 2: Convert to fraction form
    589.87/814 = 341.19/x
  3. Step 3: Cross multiply
    589.87x = 814 × 341.19
  4. Step 4: Simplify right side
    589.87x = 277,728.66
  5. Step 5: Solve for x
    x = 277,728.66/589.87
  6. Step 6: Final answer
    x = 470.83

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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.