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Finding the Fourth Proportional to 412.56, 569.33 and 226.05

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Solution

The fourth proportional to 412.56, 569.33 and 226.05 is: 311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 569.33 = 226.05 : x
  2. Step 2: Convert to fraction form
    412.56/569.33 = 226.05/x
  3. Step 3: Cross multiply
    412.56x = 569.33 × 226.05
  4. Step 4: Simplify right side
    412.56x = 128,693.07
  5. Step 5: Solve for x
    x = 128,693.07/412.56
  6. Step 6: Final answer
    x = 311.94

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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.