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Finding the Fourth Proportional to 577.28, 796.67 and 315.31

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Solution

The fourth proportional to 577.28, 796.67 and 315.31 is: 435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.28 : 796.67 = 315.31 : x
  2. Step 2: Convert to fraction form
    577.28/796.67 = 315.31/x
  3. Step 3: Cross multiply
    577.28x = 796.67 × 315.31
  4. Step 4: Simplify right side
    577.28x = 251,198.02
  5. Step 5: Solve for x
    x = 251,198.02/577.28
  6. Step 6: Final answer
    x = 435.14

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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.