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Finding the Fourth Proportional to 722.34, 996.57 and 438.66

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Solution

The fourth proportional to 722.34, 996.57 and 438.66 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.34 : 996.57 = 438.66 : x
  2. Step 2: Convert to fraction form
    722.34/996.57 = 438.66/x
  3. Step 3: Cross multiply
    722.34x = 996.57 × 438.66
  4. Step 4: Simplify right side
    722.34x = 437,155.40
  5. Step 5: Solve for x
    x = 437,155.40/722.34
  6. Step 6: Final answer
    x = 605.19

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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.