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Finding the Fourth Proportional to 411.81, 568.30 and 225.31

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Solution

The fourth proportional to 411.81, 568.30 and 225.31 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.81 : 568.30 = 225.31 : x
  2. Step 2: Convert to fraction form
    411.81/568.30 = 225.31/x
  3. Step 3: Cross multiply
    411.81x = 568.30 × 225.31
  4. Step 4: Simplify right side
    411.81x = 128,042.82
  5. Step 5: Solve for x
    x = 128,042.82/411.81
  6. Step 6: Final answer
    x = 310.93

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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.