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Finding the Fourth Proportional to 589.58, 884.81 and 225.08

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Solution

The fourth proportional to 589.58, 884.81 and 225.08 is: 337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.58 : 884.81 = 225.08 : x
  2. Step 2: Convert to fraction form
    589.58/884.81 = 225.08/x
  3. Step 3: Cross multiply
    589.58x = 884.81 × 225.08
  4. Step 4: Simplify right side
    589.58x = 199,147.49
  5. Step 5: Solve for x
    x = 199,147.49/589.58
  6. Step 6: Final answer
    x = 337.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.