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Finding the Fourth Proportional to 722.24, 996.68 and 427.52

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Solution

The fourth proportional to 722.24, 996.68 and 427.52 is: 589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 996.68 = 427.52 : x
  2. Step 2: Convert to fraction form
    722.24/996.68 = 427.52/x
  3. Step 3: Cross multiply
    722.24x = 996.68 × 427.52
  4. Step 4: Simplify right side
    722.24x = 426,100.63
  5. Step 5: Solve for x
    x = 426,100.63/722.24
  6. Step 6: Final answer
    x = 589.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.