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Finding the Fourth Proportional to 385.28, 577.31 and 298.82

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Solution

The fourth proportional to 385.28, 577.31 and 298.82 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 577.31 = 298.82 : x
  2. Step 2: Convert to fraction form
    385.28/577.31 = 298.82/x
  3. Step 3: Cross multiply
    385.28x = 577.31 × 298.82
  4. Step 4: Simplify right side
    385.28x = 172,507.39
  5. Step 5: Solve for x
    x = 172,507.39/385.28
  6. Step 6: Final answer
    x = 447.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.