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Finding the Fourth Proportional to 395.73, 593.33 and 190.40

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Solution

The fourth proportional to 395.73, 593.33 and 190.40 is: 285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.73 : 593.33 = 190.40 : x
  2. Step 2: Convert to fraction form
    395.73/593.33 = 190.40/x
  3. Step 3: Cross multiply
    395.73x = 593.33 × 190.40
  4. Step 4: Simplify right side
    395.73x = 112,966.11
  5. Step 5: Solve for x
    x = 112,966.11/395.73
  6. Step 6: Final answer
    x = 285.46

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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.