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Finding the Fourth Proportional to 722.70, 997.17 and 412.20

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Solution

The fourth proportional to 722.70, 997.17 and 412.20 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 997.17 = 412.20 : x
  2. Step 2: Convert to fraction form
    722.70/997.17 = 412.20/x
  3. Step 3: Cross multiply
    722.70x = 997.17 × 412.20
  4. Step 4: Simplify right side
    722.70x = 411,033.47
  5. Step 5: Solve for x
    x = 411,033.47/722.70
  6. Step 6: Final answer
    x = 568.75

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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.