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Finding the Fourth Proportional to 589.80, 814.20 and 369.07

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Solution

The fourth proportional to 589.80, 814.20 and 369.07 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 814.20 = 369.07 : x
  2. Step 2: Convert to fraction form
    589.80/814.20 = 369.07/x
  3. Step 3: Cross multiply
    589.80x = 814.20 × 369.07
  4. Step 4: Simplify right side
    589.80x = 300,496.79
  5. Step 5: Solve for x
    x = 300,496.79/589.80
  6. Step 6: Final answer
    x = 509.49

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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.