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Finding the Fourth Proportional to 577.43, 796.66 and 356.37

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Solution

The fourth proportional to 577.43, 796.66 and 356.37 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.43 : 796.66 = 356.37 : x
  2. Step 2: Convert to fraction form
    577.43/796.66 = 356.37/x
  3. Step 3: Cross multiply
    577.43x = 796.66 × 356.37
  4. Step 4: Simplify right side
    577.43x = 283,909.57
  5. Step 5: Solve for x
    x = 283,909.57/577.43
  6. Step 6: Final answer
    x = 491.68

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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.