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Finding the Fourth Proportional to 722.34, 996.77 and 407.61

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Solution

The fourth proportional to 722.34, 996.77 and 407.61 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.34 : 996.77 = 407.61 : x
  2. Step 2: Convert to fraction form
    722.34/996.77 = 407.61/x
  3. Step 3: Cross multiply
    722.34x = 996.77 × 407.61
  4. Step 4: Simplify right side
    722.34x = 406,294.44
  5. Step 5: Solve for x
    x = 406,294.44/722.34
  6. Step 6: Final answer
    x = 562.47

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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.