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Finding the Fourth Proportional to 412.01, 568.54 and 225.46

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Solution

The fourth proportional to 412.01, 568.54 and 225.46 is: 311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.01 : 568.54 = 225.46 : x
  2. Step 2: Convert to fraction form
    412.01/568.54 = 225.46/x
  3. Step 3: Cross multiply
    412.01x = 568.54 × 225.46
  4. Step 4: Simplify right side
    412.01x = 128,183.03
  5. Step 5: Solve for x
    x = 128,183.03/412.01
  6. Step 6: Final answer
    x = 311.12

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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.