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Finding the Fourth Proportional to 590.75, 814.21 and 443.12

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Solution

The fourth proportional to 590.75, 814.21 and 443.12 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.75 : 814.21 = 443.12 : x
  2. Step 2: Convert to fraction form
    590.75/814.21 = 443.12/x
  3. Step 3: Cross multiply
    590.75x = 814.21 × 443.12
  4. Step 4: Simplify right side
    590.75x = 360,793.66
  5. Step 5: Solve for x
    x = 360,793.66/590.75
  6. Step 6: Final answer
    x = 610.74

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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.