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Finding the Fourth Proportional to 412.83, 569.71 and 226.32

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Solution

The fourth proportional to 412.83, 569.71 and 226.32 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.71 = 226.32 : x
  2. Step 2: Convert to fraction form
    412.83/569.71 = 226.32/x
  3. Step 3: Cross multiply
    412.83x = 569.71 × 226.32
  4. Step 4: Simplify right side
    412.83x = 128,936.20
  5. Step 5: Solve for x
    x = 128,936.20/412.83
  6. Step 6: Final answer
    x = 312.32

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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.