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Finding the Fourth Proportional to 395.42, 593.06 and 187.20

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Solution

The fourth proportional to 395.42, 593.06 and 187.20 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.42 : 593.06 = 187.20 : x
  2. Step 2: Convert to fraction form
    395.42/593.06 = 187.20/x
  3. Step 3: Cross multiply
    395.42x = 593.06 × 187.20
  4. Step 4: Simplify right side
    395.42x = 111,019.90
  5. Step 5: Solve for x
    x = 111,019.90/395.42
  6. Step 6: Final answer
    x = 280.77

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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.