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Finding the Fourth Proportional to 608.84, 913.17 and 224

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Solution

The fourth proportional to 608.84, 913.17 and 224 is: 335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.84 : 913.17 = 224 : x
  2. Step 2: Convert to fraction form
    608.84/913.17 = 224/x
  3. Step 3: Cross multiply
    608.84x = 913.17 × 224
  4. Step 4: Simplify right side
    608.84x = 204,550.08
  5. Step 5: Solve for x
    x = 204,550.08/608.84
  6. Step 6: Final answer
    x = 335.97

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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.