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Finding the Fourth Proportional to 719.64, 993.22 and 409.16

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Solution

The fourth proportional to 719.64, 993.22 and 409.16 is: 564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.64 : 993.22 = 409.16 : x
  2. Step 2: Convert to fraction form
    719.64/993.22 = 409.16/x
  3. Step 3: Cross multiply
    719.64x = 993.22 × 409.16
  4. Step 4: Simplify right side
    719.64x = 406,385.90
  5. Step 5: Solve for x
    x = 406,385.90/719.64
  6. Step 6: Final answer
    x = 564.71

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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.