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Finding the Fourth Proportional to 385.27, 577.37 and 276.82

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Solution

The fourth proportional to 385.27, 577.37 and 276.82 is: 414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.27 : 577.37 = 276.82 : x
  2. Step 2: Convert to fraction form
    385.27/577.37 = 276.82/x
  3. Step 3: Cross multiply
    385.27x = 577.37 × 276.82
  4. Step 4: Simplify right side
    385.27x = 159,826.18
  5. Step 5: Solve for x
    x = 159,826.18/385.27
  6. Step 6: Final answer
    x = 414.84

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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.