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Finding the Fourth Proportional to 719.96, 993.58 and 409.56

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Solution

The fourth proportional to 719.96, 993.58 and 409.56 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 993.58 = 409.56 : x
  2. Step 2: Convert to fraction form
    719.96/993.58 = 409.56/x
  3. Step 3: Cross multiply
    719.96x = 993.58 × 409.56
  4. Step 4: Simplify right side
    719.96x = 406,930.62
  5. Step 5: Solve for x
    x = 406,930.62/719.96
  6. Step 6: Final answer
    x = 565.21

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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.