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Finding the Fourth Proportional to 722.92, 997.50 and 408.20

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Solution

The fourth proportional to 722.92, 997.50 and 408.20 is: 563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.92 : 997.50 = 408.20 : x
  2. Step 2: Convert to fraction form
    722.92/997.50 = 408.20/x
  3. Step 3: Cross multiply
    722.92x = 997.50 × 408.20
  4. Step 4: Simplify right side
    722.92x = 407,179.50
  5. Step 5: Solve for x
    x = 407,179.50/722.92
  6. Step 6: Final answer
    x = 563.24

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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.