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Finding the Fourth Proportional to 395.93, 593.24 and 280.13

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Solution

The fourth proportional to 395.93, 593.24 and 280.13 is: 419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 593.24 = 280.13 : x
  2. Step 2: Convert to fraction form
    395.93/593.24 = 280.13/x
  3. Step 3: Cross multiply
    395.93x = 593.24 × 280.13
  4. Step 4: Simplify right side
    395.93x = 166,179.95
  5. Step 5: Solve for x
    x = 166,179.95/395.93
  6. Step 6: Final answer
    x = 419.72

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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.