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Finding the Fourth Proportional to 411.77, 568.25 and 225.26

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Solution

The fourth proportional to 411.77, 568.25 and 225.26 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.77 : 568.25 = 225.26 : x
  2. Step 2: Convert to fraction form
    411.77/568.25 = 225.26/x
  3. Step 3: Cross multiply
    411.77x = 568.25 × 225.26
  4. Step 4: Simplify right side
    411.77x = 128,003.00
  5. Step 5: Solve for x
    x = 128,003.00/411.77
  6. Step 6: Final answer
    x = 310.86

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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.