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Finding the Fourth Proportional to 722.70, 997.56 and 428.22

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Solution

The fourth proportional to 722.70, 997.56 and 428.22 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 997.56 = 428.22 : x
  2. Step 2: Convert to fraction form
    722.70/997.56 = 428.22/x
  3. Step 3: Cross multiply
    722.70x = 997.56 × 428.22
  4. Step 4: Simplify right side
    722.70x = 427,175.14
  5. Step 5: Solve for x
    x = 427,175.14/722.70
  6. Step 6: Final answer
    x = 591.08

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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.