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Finding the Fourth Proportional to 412.32, 569 and 225.82

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Solution

The fourth proportional to 412.32, 569 and 225.82 is: 311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 569 = 225.82 : x
  2. Step 2: Convert to fraction form
    412.32/569 = 225.82/x
  3. Step 3: Cross multiply
    412.32x = 569 × 225.82
  4. Step 4: Simplify right side
    412.32x = 128,491.58
  5. Step 5: Solve for x
    x = 128,491.58/412.32
  6. Step 6: Final answer
    x = 311.63

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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.