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Finding the Fourth Proportional to 722.48, 996.71 and 442.49

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Solution

The fourth proportional to 722.48, 996.71 and 442.49 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.48 : 996.71 = 442.49 : x
  2. Step 2: Convert to fraction form
    722.48/996.71 = 442.49/x
  3. Step 3: Cross multiply
    722.48x = 996.71 × 442.49
  4. Step 4: Simplify right side
    722.48x = 441,027.01
  5. Step 5: Solve for x
    x = 441,027.01/722.48
  6. Step 6: Final answer
    x = 610.44

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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.