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Finding the Fourth Proportional to 608.72, 913.28 and 224

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Solution

The fourth proportional to 608.72, 913.28 and 224 is: 336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.72 : 913.28 = 224 : x
  2. Step 2: Convert to fraction form
    608.72/913.28 = 224/x
  3. Step 3: Cross multiply
    608.72x = 913.28 × 224
  4. Step 4: Simplify right side
    608.72x = 204,574.72
  5. Step 5: Solve for x
    x = 204,574.72/608.72
  6. Step 6: Final answer
    x = 336.07

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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.