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Finding the Fourth Proportional to 719.57, 993 and 409.07

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Solution

The fourth proportional to 719.57, 993 and 409.07 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.57 : 993 = 409.07 : x
  2. Step 2: Convert to fraction form
    719.57/993 = 409.07/x
  3. Step 3: Cross multiply
    719.57x = 993 × 409.07
  4. Step 4: Simplify right side
    719.57x = 406,201.55
  5. Step 5: Solve for x
    x = 406,201.55/719.57
  6. Step 6: Final answer
    x = 564.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.