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Finding the Fourth Proportional to 426.54, 589.11 and 369.03

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Solution

The fourth proportional to 426.54, 589.11 and 369.03 is: 509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 589.11 = 369.03 : x
  2. Step 2: Convert to fraction form
    426.54/589.11 = 369.03/x
  3. Step 3: Cross multiply
    426.54x = 589.11 × 369.03
  4. Step 4: Simplify right side
    426.54x = 217,399.26
  5. Step 5: Solve for x
    x = 217,399.26/426.54
  6. Step 6: Final answer
    x = 509.68

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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.