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Finding the Fourth Proportional to 385.83, 577.53 and 269.73

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Solution

The fourth proportional to 385.83, 577.53 and 269.73 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.83 : 577.53 = 269.73 : x
  2. Step 2: Convert to fraction form
    385.83/577.53 = 269.73/x
  3. Step 3: Cross multiply
    385.83x = 577.53 × 269.73
  4. Step 4: Simplify right side
    385.83x = 155,777.17
  5. Step 5: Solve for x
    x = 155,777.17/385.83
  6. Step 6: Final answer
    x = 403.75

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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.