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Finding the Fourth Proportional to 722.72, 997.12 and 412.16

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Solution

The fourth proportional to 722.72, 997.12 and 412.16 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.72 : 997.12 = 412.16 : x
  2. Step 2: Convert to fraction form
    722.72/997.12 = 412.16/x
  3. Step 3: Cross multiply
    722.72x = 997.12 × 412.16
  4. Step 4: Simplify right side
    722.72x = 410,972.98
  5. Step 5: Solve for x
    x = 410,972.98/722.72
  6. Step 6: Final answer
    x = 568.65

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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.