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Finding the Fourth Proportional to 721.88, 996.27 and 407.26

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Solution

The fourth proportional to 721.88, 996.27 and 407.26 is: 562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.88 : 996.27 = 407.26 : x
  2. Step 2: Convert to fraction form
    721.88/996.27 = 407.26/x
  3. Step 3: Cross multiply
    721.88x = 996.27 × 407.26
  4. Step 4: Simplify right side
    721.88x = 405,740.64
  5. Step 5: Solve for x
    x = 405,740.64/721.88
  6. Step 6: Final answer
    x = 562.06

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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.