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Finding the Fourth Proportional to 395.48, 593.16 and 203

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Solution

The fourth proportional to 395.48, 593.16 and 203 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.48 : 593.16 = 203 : x
  2. Step 2: Convert to fraction form
    395.48/593.16 = 203/x
  3. Step 3: Cross multiply
    395.48x = 593.16 × 203
  4. Step 4: Simplify right side
    395.48x = 120,411.48
  5. Step 5: Solve for x
    x = 120,411.48/395.48
  6. Step 6: Final answer
    x = 304.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.