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Finding the Fourth Proportional to 411.91, 568.45 and 225.41

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Solution

The fourth proportional to 411.91, 568.45 and 225.41 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 568.45 = 225.41 : x
  2. Step 2: Convert to fraction form
    411.91/568.45 = 225.41/x
  3. Step 3: Cross multiply
    411.91x = 568.45 × 225.41
  4. Step 4: Simplify right side
    411.91x = 128,130.91
  5. Step 5: Solve for x
    x = 128,130.91/411.91
  6. Step 6: Final answer
    x = 311.07

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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.