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Finding the Fourth Proportional to 395.78, 593.82 and 152.32

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Solution

The fourth proportional to 395.78, 593.82 and 152.32 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 593.82 = 152.32 : x
  2. Step 2: Convert to fraction form
    395.78/593.82 = 152.32/x
  3. Step 3: Cross multiply
    395.78x = 593.82 × 152.32
  4. Step 4: Simplify right side
    395.78x = 90,450.66
  5. Step 5: Solve for x
    x = 90,450.66/395.78
  6. Step 6: Final answer
    x = 228.54

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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.