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Finding the Fourth Proportional to 412.06, 568.65 and 225.57

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Solution

The fourth proportional to 412.06, 568.65 and 225.57 is: 311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 568.65 = 225.57 : x
  2. Step 2: Convert to fraction form
    412.06/568.65 = 225.57/x
  3. Step 3: Cross multiply
    412.06x = 568.65 × 225.57
  4. Step 4: Simplify right side
    412.06x = 128,270.38
  5. Step 5: Solve for x
    x = 128,270.38/412.06
  6. Step 6: Final answer
    x = 311.29

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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.