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Finding the Fourth Proportional to 385.08, 577.15 and 200.07

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Solution

The fourth proportional to 385.08, 577.15 and 200.07 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 577.15 = 200.07 : x
  2. Step 2: Convert to fraction form
    385.08/577.15 = 200.07/x
  3. Step 3: Cross multiply
    385.08x = 577.15 × 200.07
  4. Step 4: Simplify right side
    385.08x = 115,470.40
  5. Step 5: Solve for x
    x = 115,470.40/385.08
  6. Step 6: Final answer
    x = 299.86

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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.