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Finding the Fourth Proportional to 577.27, 796.49 and 356.23

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Solution

The fourth proportional to 577.27, 796.49 and 356.23 is: 491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.27 : 796.49 = 356.23 : x
  2. Step 2: Convert to fraction form
    577.27/796.49 = 356.23/x
  3. Step 3: Cross multiply
    577.27x = 796.49 × 356.23
  4. Step 4: Simplify right side
    577.27x = 283,729.65
  5. Step 5: Solve for x
    x = 283,729.65/577.27
  6. Step 6: Final answer
    x = 491.51

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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.