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Finding the Fourth Proportional to 589.84, 884.41 and 224.65

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Solution

The fourth proportional to 589.84, 884.41 and 224.65 is: 336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.84 : 884.41 = 224.65 : x
  2. Step 2: Convert to fraction form
    589.84/884.41 = 224.65/x
  3. Step 3: Cross multiply
    589.84x = 884.41 × 224.65
  4. Step 4: Simplify right side
    589.84x = 198,682.71
  5. Step 5: Solve for x
    x = 198,682.71/589.84
  6. Step 6: Final answer
    x = 336.84

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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.