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Finding the Fourth Proportional to 385.09, 577.36 and 200.05

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Solution

The fourth proportional to 385.09, 577.36 and 200.05 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.09 : 577.36 = 200.05 : x
  2. Step 2: Convert to fraction form
    385.09/577.36 = 200.05/x
  3. Step 3: Cross multiply
    385.09x = 577.36 × 200.05
  4. Step 4: Simplify right side
    385.09x = 115,500.87
  5. Step 5: Solve for x
    x = 115,500.87/385.09
  6. Step 6: Final answer
    x = 299.93

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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.