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Finding the Fourth Proportional to 722, 996.27 and 407.22

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Solution

The fourth proportional to 722, 996.27 and 407.22 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    722 : 996.27 = 407.22 : x
  2. Step 2: Convert to fraction form
    722/996.27 = 407.22/x
  3. Step 3: Cross multiply
    722x = 996.27 × 407.22
  4. Step 4: Simplify right side
    722x = 405,701.07
  5. Step 5: Solve for x
    x = 405,701.07/722
  6. Step 6: Final answer
    x = 561.91

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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.