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Finding the Fourth Proportional to 719.43, 993.24 and 471.17

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Solution

The fourth proportional to 719.43, 993.24 and 471.17 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.43 : 993.24 = 471.17 : x
  2. Step 2: Convert to fraction form
    719.43/993.24 = 471.17/x
  3. Step 3: Cross multiply
    719.43x = 993.24 × 471.17
  4. Step 4: Simplify right side
    719.43x = 467,979.92
  5. Step 5: Solve for x
    x = 467,979.92/719.43
  6. Step 6: Final answer
    x = 650.49

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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.