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Finding the Fourth Proportional to 552.16, 827.61 and 227.13

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Solution

The fourth proportional to 552.16, 827.61 and 227.13 is: 340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 827.61 = 227.13 : x
  2. Step 2: Convert to fraction form
    552.16/827.61 = 227.13/x
  3. Step 3: Cross multiply
    552.16x = 827.61 × 227.13
  4. Step 4: Simplify right side
    552.16x = 187,975.06
  5. Step 5: Solve for x
    x = 187,975.06/552.16
  6. Step 6: Final answer
    x = 340.44

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1.5x scale

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.