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Finding the Fourth Proportional to 385.46, 577.71 and 193.14

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Solution

The fourth proportional to 385.46, 577.71 and 193.14 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.46 : 577.71 = 193.14 : x
  2. Step 2: Convert to fraction form
    385.46/577.71 = 193.14/x
  3. Step 3: Cross multiply
    385.46x = 577.71 × 193.14
  4. Step 4: Simplify right side
    385.46x = 111,578.91
  5. Step 5: Solve for x
    x = 111,578.91/385.46
  6. Step 6: Final answer
    x = 289.47

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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.