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Finding the Fourth Proportional to 722.56, 997.20 and 412

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Solution

The fourth proportional to 722.56, 997.20 and 412 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.56 : 997.20 = 412 : x
  2. Step 2: Convert to fraction form
    722.56/997.20 = 412/x
  3. Step 3: Cross multiply
    722.56x = 997.20 × 412
  4. Step 4: Simplify right side
    722.56x = 410,846.40
  5. Step 5: Solve for x
    x = 410,846.40/722.56
  6. Step 6: Final answer
    x = 568.60

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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.