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Finding the Fourth Proportional to 722.13, 996.53 and 411.69

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Solution

The fourth proportional to 722.13, 996.53 and 411.69 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.13 : 996.53 = 411.69 : x
  2. Step 2: Convert to fraction form
    722.13/996.53 = 411.69/x
  3. Step 3: Cross multiply
    722.13x = 996.53 × 411.69
  4. Step 4: Simplify right side
    722.13x = 410,261.44
  5. Step 5: Solve for x
    x = 410,261.44/722.13
  6. Step 6: Final answer
    x = 568.13

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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.