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Finding the Fourth Proportional to 719.73, 992.97 and 471.38

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Solution

The fourth proportional to 719.73, 992.97 and 471.38 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.73 : 992.97 = 471.38 : x
  2. Step 2: Convert to fraction form
    719.73/992.97 = 471.38/x
  3. Step 3: Cross multiply
    719.73x = 992.97 × 471.38
  4. Step 4: Simplify right side
    719.73x = 468,061.23
  5. Step 5: Solve for x
    x = 468,061.23/719.73
  6. Step 6: Final answer
    x = 650.33

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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.