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Finding the Fourth Proportional to 416.53, 574.80 and 227.48

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Solution

The fourth proportional to 416.53, 574.80 and 227.48 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 574.80 = 227.48 : x
  2. Step 2: Convert to fraction form
    416.53/574.80 = 227.48/x
  3. Step 3: Cross multiply
    416.53x = 574.80 × 227.48
  4. Step 4: Simplify right side
    416.53x = 130,753.06
  5. Step 5: Solve for x
    x = 130,753.06/416.53
  6. Step 6: Final answer
    x = 313.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.