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Finding the Fourth Proportional to 590.59, 814.62 and 369.19

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Solution

The fourth proportional to 590.59, 814.62 and 369.19 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.59 : 814.62 = 369.19 : x
  2. Step 2: Convert to fraction form
    590.59/814.62 = 369.19/x
  3. Step 3: Cross multiply
    590.59x = 814.62 × 369.19
  4. Step 4: Simplify right side
    590.59x = 300,749.56
  5. Step 5: Solve for x
    x = 300,749.56/590.59
  6. Step 6: Final answer
    x = 509.24

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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.