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Finding the Fourth Proportional to 722.17, 996.93 and 423.37

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Solution

The fourth proportional to 722.17, 996.93 and 423.37 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.17 : 996.93 = 423.37 : x
  2. Step 2: Convert to fraction form
    722.17/996.93 = 423.37/x
  3. Step 3: Cross multiply
    722.17x = 996.93 × 423.37
  4. Step 4: Simplify right side
    722.17x = 422,070.25
  5. Step 5: Solve for x
    x = 422,070.25/722.17
  6. Step 6: Final answer
    x = 584.45

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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.