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Finding the Fourth Proportional to 412.34, 569.01 and 225.82

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Solution

The fourth proportional to 412.34, 569.01 and 225.82 is: 311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 569.01 = 225.82 : x
  2. Step 2: Convert to fraction form
    412.34/569.01 = 225.82/x
  3. Step 3: Cross multiply
    412.34x = 569.01 × 225.82
  4. Step 4: Simplify right side
    412.34x = 128,493.41
  5. Step 5: Solve for x
    x = 128,493.41/412.34
  6. Step 6: Final answer
    x = 311.62

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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.