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Finding the Fourth Proportional to 590.23, 814.33 and 422.04

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Solution

The fourth proportional to 590.23, 814.33 and 422.04 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.23 : 814.33 = 422.04 : x
  2. Step 2: Convert to fraction form
    590.23/814.33 = 422.04/x
  3. Step 3: Cross multiply
    590.23x = 814.33 × 422.04
  4. Step 4: Simplify right side
    590.23x = 343,676.46
  5. Step 5: Solve for x
    x = 343,676.46/590.23
  6. Step 6: Final answer
    x = 582.28

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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.