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Finding the Fourth Proportional to 406.71, 561.27 and 227.26

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Solution

The fourth proportional to 406.71, 561.27 and 227.26 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 561.27 = 227.26 : x
  2. Step 2: Convert to fraction form
    406.71/561.27 = 227.26/x
  3. Step 3: Cross multiply
    406.71x = 561.27 × 227.26
  4. Step 4: Simplify right side
    406.71x = 127,554.77
  5. Step 5: Solve for x
    x = 127,554.77/406.71
  6. Step 6: Final answer
    x = 313.62

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