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Finding the Fourth Proportional to 395.42, 593.25 and 190.00

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Solution

The fourth proportional to 395.42, 593.25 and 190.00 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.42 : 593.25 = 190.00 : x
  2. Step 2: Convert to fraction form
    395.42/593.25 = 190.00/x
  3. Step 3: Cross multiply
    395.42x = 593.25 × 190.00
  4. Step 4: Simplify right side
    395.42x = 112,719.13
  5. Step 5: Solve for x
    x = 112,719.13/395.42
  6. Step 6: Final answer
    x = 285.06

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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.