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Finding the Fourth Proportional to 589.96, 814.06 and 341.22

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Solution

The fourth proportional to 589.96, 814.06 and 341.22 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 814.06 = 341.22 : x
  2. Step 2: Convert to fraction form
    589.96/814.06 = 341.22/x
  3. Step 3: Cross multiply
    589.96x = 814.06 × 341.22
  4. Step 4: Simplify right side
    589.96x = 277,773.55
  5. Step 5: Solve for x
    x = 277,773.55/589.96
  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.