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Finding the Fourth Proportional to 722.21, 996.69 and 407.52

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Solution

The fourth proportional to 722.21, 996.69 and 407.52 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.21 : 996.69 = 407.52 : x
  2. Step 2: Convert to fraction form
    722.21/996.69 = 407.52/x
  3. Step 3: Cross multiply
    722.21x = 996.69 × 407.52
  4. Step 4: Simplify right side
    722.21x = 406,171.11
  5. Step 5: Solve for x
    x = 406,171.11/722.21
  6. Step 6: Final answer
    x = 562.40

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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.