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Finding the Fourth Proportional to 418.44, 577.46 and 270.82

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Solution

The fourth proportional to 418.44, 577.46 and 270.82 is: 373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 577.46 = 270.82 : x
  2. Step 2: Convert to fraction form
    418.44/577.46 = 270.82/x
  3. Step 3: Cross multiply
    418.44x = 577.46 × 270.82
  4. Step 4: Simplify right side
    418.44x = 156,387.72
  5. Step 5: Solve for x
    x = 156,387.72/418.44
  6. Step 6: Final answer
    x = 373.74

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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.