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Finding the Fourth Proportional to 719.67, 993.15 and 409.17

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Solution

The fourth proportional to 719.67, 993.15 and 409.17 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.67 : 993.15 = 409.17 : x
  2. Step 2: Convert to fraction form
    719.67/993.15 = 409.17/x
  3. Step 3: Cross multiply
    719.67x = 993.15 × 409.17
  4. Step 4: Simplify right side
    719.67x = 406,367.19
  5. Step 5: Solve for x
    x = 406,367.19/719.67
  6. Step 6: Final answer
    x = 564.66

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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.