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Finding the Fourth Proportional to 412.09, 568.69 and 225.58

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Solution

The fourth proportional to 412.09, 568.69 and 225.58 is: 311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 568.69 = 225.58 : x
  2. Step 2: Convert to fraction form
    412.09/568.69 = 225.58/x
  3. Step 3: Cross multiply
    412.09x = 568.69 × 225.58
  4. Step 4: Simplify right side
    412.09x = 128,282.45
  5. Step 5: Solve for x
    x = 128,282.45/412.09
  6. Step 6: Final answer
    x = 311.30

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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.