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Finding the Fourth Proportional to 719.50, 993.09 and 409.18

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Solution

The fourth proportional to 719.50, 993.09 and 409.18 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.50 : 993.09 = 409.18 : x
  2. Step 2: Convert to fraction form
    719.50/993.09 = 409.18/x
  3. Step 3: Cross multiply
    719.50x = 993.09 × 409.18
  4. Step 4: Simplify right side
    719.50x = 406,352.57
  5. Step 5: Solve for x
    x = 406,352.57/719.50
  6. Step 6: Final answer
    x = 564.77

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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.