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Finding the Fourth Proportional to 385.94, 579.15 and 203.46

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Solution

The fourth proportional to 385.94, 579.15 and 203.46 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 579.15 = 203.46 : x
  2. Step 2: Convert to fraction form
    385.94/579.15 = 203.46/x
  3. Step 3: Cross multiply
    385.94x = 579.15 × 203.46
  4. Step 4: Simplify right side
    385.94x = 117,833.86
  5. Step 5: Solve for x
    x = 117,833.86/385.94
  6. Step 6: Final answer
    x = 305.32

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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.