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Finding the Fourth Proportional to 385.13, 531.73 and 343.61

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Solution

The fourth proportional to 385.13, 531.73 and 343.61 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 531.73 = 343.61 : x
  2. Step 2: Convert to fraction form
    385.13/531.73 = 343.61/x
  3. Step 3: Cross multiply
    385.13x = 531.73 × 343.61
  4. Step 4: Simplify right side
    385.13x = 182,709.39
  5. Step 5: Solve for x
    x = 182,709.39/385.13
  6. Step 6: Final answer
    x = 474.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.