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Finding the Fourth Proportional to 722.96, 997.47 and 428.12

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Solution

The fourth proportional to 722.96, 997.47 and 428.12 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 997.47 = 428.12 : x
  2. Step 2: Convert to fraction form
    722.96/997.47 = 428.12/x
  3. Step 3: Cross multiply
    722.96x = 997.47 × 428.12
  4. Step 4: Simplify right side
    722.96x = 427,036.86
  5. Step 5: Solve for x
    x = 427,036.86/722.96
  6. Step 6: Final answer
    x = 590.68

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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.