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Finding the Fourth Proportional to 412.56, 568.40 and 338.45

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Solution

The fourth proportional to 412.56, 568.40 and 338.45 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 568.40 = 338.45 : x
  2. Step 2: Convert to fraction form
    412.56/568.40 = 338.45/x
  3. Step 3: Cross multiply
    412.56x = 568.40 × 338.45
  4. Step 4: Simplify right side
    412.56x = 192,370.45
  5. Step 5: Solve for x
    x = 192,370.45/412.56
  6. Step 6: Final answer
    x = 466.28

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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.