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Finding the Fourth Proportional to 722.01, 996.39 and 411.51

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Solution

The fourth proportional to 722.01, 996.39 and 411.51 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.01 : 996.39 = 411.51 : x
  2. Step 2: Convert to fraction form
    722.01/996.39 = 411.51/x
  3. Step 3: Cross multiply
    722.01x = 996.39 × 411.51
  4. Step 4: Simplify right side
    722.01x = 410,024.45
  5. Step 5: Solve for x
    x = 410,024.45/722.01
  6. Step 6: Final answer
    x = 567.89

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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.