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Finding the Fourth Proportional to 412.83, 569.67 and 226.31

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Solution

The fourth proportional to 412.83, 569.67 and 226.31 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.67 = 226.31 : x
  2. Step 2: Convert to fraction form
    412.83/569.67 = 226.31/x
  3. Step 3: Cross multiply
    412.83x = 569.67 × 226.31
  4. Step 4: Simplify right side
    412.83x = 128,919.17
  5. Step 5: Solve for x
    x = 128,919.17/412.83
  6. Step 6: Final answer
    x = 312.28

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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.