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Finding the Fourth Proportional to 411.74, 568.22 and 225.24

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Solution

The fourth proportional to 411.74, 568.22 and 225.24 is: 310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 568.22 = 225.24 : x
  2. Step 2: Convert to fraction form
    411.74/568.22 = 225.24/x
  3. Step 3: Cross multiply
    411.74x = 568.22 × 225.24
  4. Step 4: Simplify right side
    411.74x = 127,985.87
  5. Step 5: Solve for x
    x = 127,985.87/411.74
  6. Step 6: Final answer
    x = 310.84

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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.