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Finding the Fourth Proportional to 589.99, 814.43 and 422.11

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Solution

The fourth proportional to 589.99, 814.43 and 422.11 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.99 : 814.43 = 422.11 : x
  2. Step 2: Convert to fraction form
    589.99/814.43 = 422.11/x
  3. Step 3: Cross multiply
    589.99x = 814.43 × 422.11
  4. Step 4: Simplify right side
    589.99x = 343,779.05
  5. Step 5: Solve for x
    x = 343,779.05/589.99
  6. Step 6: Final answer
    x = 582.69

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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.