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Finding the Fourth Proportional to 577.41, 797.12 and 391.88

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Solution

The fourth proportional to 577.41, 797.12 and 391.88 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 797.12 = 391.88 : x
  2. Step 2: Convert to fraction form
    577.41/797.12 = 391.88/x
  3. Step 3: Cross multiply
    577.41x = 797.12 × 391.88
  4. Step 4: Simplify right side
    577.41x = 312,375.39
  5. Step 5: Solve for x
    x = 312,375.39/577.41
  6. Step 6: Final answer
    x = 540.99

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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.