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Finding the Fourth Proportional to 719.84, 993.39 and 409.34

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Solution

The fourth proportional to 719.84, 993.39 and 409.34 is: 564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.84 : 993.39 = 409.34 : x
  2. Step 2: Convert to fraction form
    719.84/993.39 = 409.34/x
  3. Step 3: Cross multiply
    719.84x = 993.39 × 409.34
  4. Step 4: Simplify right side
    719.84x = 406,634.26
  5. Step 5: Solve for x
    x = 406,634.26/719.84
  6. Step 6: Final answer
    x = 564.90

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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.