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Finding the Fourth Proportional to 719.69, 993.24 and 471.14

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Solution

The fourth proportional to 719.69, 993.24 and 471.14 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.69 : 993.24 = 471.14 : x
  2. Step 2: Convert to fraction form
    719.69/993.24 = 471.14/x
  3. Step 3: Cross multiply
    719.69x = 993.24 × 471.14
  4. Step 4: Simplify right side
    719.69x = 467,957.58
  5. Step 5: Solve for x
    x = 467,957.58/719.69
  6. Step 6: Final answer
    x = 650.22

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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.