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Finding the Fourth Proportional to 722.09, 996.24 and 407.32

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Solution

The fourth proportional to 722.09, 996.24 and 407.32 is: 561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.09 : 996.24 = 407.32 : x
  2. Step 2: Convert to fraction form
    722.09/996.24 = 407.32/x
  3. Step 3: Cross multiply
    722.09x = 996.24 × 407.32
  4. Step 4: Simplify right side
    722.09x = 405,785.99
  5. Step 5: Solve for x
    x = 405,785.99/722.09
  6. Step 6: Final answer
    x = 561.96

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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.