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Finding the Fourth Proportional to 412.60, 568.82 and 347

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Solution

The fourth proportional to 412.60, 568.82 and 347 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 568.82 = 347 : x
  2. Step 2: Convert to fraction form
    412.60/568.82 = 347/x
  3. Step 3: Cross multiply
    412.60x = 568.82 × 347
  4. Step 4: Simplify right side
    412.60x = 197,380.54
  5. Step 5: Solve for x
    x = 197,380.54/412.60
  6. Step 6: Final answer
    x = 478.38

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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.