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Finding the Fourth Proportional to 590.27, 814.41 and 369.14

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Solution

The fourth proportional to 590.27, 814.41 and 369.14 is: 509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.27 : 814.41 = 369.14 : x
  2. Step 2: Convert to fraction form
    590.27/814.41 = 369.14/x
  3. Step 3: Cross multiply
    590.27x = 814.41 × 369.14
  4. Step 4: Simplify right side
    590.27x = 300,627.24
  5. Step 5: Solve for x
    x = 300,627.24/590.27
  6. Step 6: Final answer
    x = 509.31

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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.