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Finding the Fourth Proportional to 590.09, 814.68 and 369.35

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Solution

The fourth proportional to 590.09, 814.68 and 369.35 is: 509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 814.68 = 369.35 : x
  2. Step 2: Convert to fraction form
    590.09/814.68 = 369.35/x
  3. Step 3: Cross multiply
    590.09x = 814.68 × 369.35
  4. Step 4: Simplify right side
    590.09x = 300,897.98
  5. Step 5: Solve for x
    x = 300,897.98/590.09
  6. Step 6: Final answer
    x = 509.92

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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.