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Finding the Fourth Proportional to 385.50, 578.33 and 193.13

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Solution

The fourth proportional to 385.50, 578.33 and 193.13 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 578.33 = 193.13 : x
  2. Step 2: Convert to fraction form
    385.50/578.33 = 193.13/x
  3. Step 3: Cross multiply
    385.50x = 578.33 × 193.13
  4. Step 4: Simplify right side
    385.50x = 111,689.02
  5. Step 5: Solve for x
    x = 111,689.02/385.50
  6. Step 6: Final answer
    x = 289.73

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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.