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Finding the Fourth Proportional to 395.52, 593.32 and 360.32

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Solution

The fourth proportional to 395.52, 593.32 and 360.32 is: 540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.52 : 593.32 = 360.32 : x
  2. Step 2: Convert to fraction form
    395.52/593.32 = 360.32/x
  3. Step 3: Cross multiply
    395.52x = 593.32 × 360.32
  4. Step 4: Simplify right side
    395.52x = 213,785.06
  5. Step 5: Solve for x
    x = 213,785.06/395.52
  6. Step 6: Final answer
    x = 540.52

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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.