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Finding the Fourth Proportional to 719.65, 993 and 409.15

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Solution

The fourth proportional to 719.65, 993 and 409.15 is: 564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.65 : 993 = 409.15 : x
  2. Step 2: Convert to fraction form
    719.65/993 = 409.15/x
  3. Step 3: Cross multiply
    719.65x = 993 × 409.15
  4. Step 4: Simplify right side
    719.65x = 406,285.95
  5. Step 5: Solve for x
    x = 406,285.95/719.65
  6. Step 6: Final answer
    x = 564.56

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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.