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Finding the Fourth Proportional to 385.99, 579.32 and 180.73

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Solution

The fourth proportional to 385.99, 579.32 and 180.73 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.99 : 579.32 = 180.73 : x
  2. Step 2: Convert to fraction form
    385.99/579.32 = 180.73/x
  3. Step 3: Cross multiply
    385.99x = 579.32 × 180.73
  4. Step 4: Simplify right side
    385.99x = 104,700.50
  5. Step 5: Solve for x
    x = 104,700.50/385.99
  6. Step 6: Final answer
    x = 271.25

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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.