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Finding the Fourth Proportional to 395.20, 593.07 and 258.04

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Solution

The fourth proportional to 395.20, 593.07 and 258.04 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.20 : 593.07 = 258.04 : x
  2. Step 2: Convert to fraction form
    395.20/593.07 = 258.04/x
  3. Step 3: Cross multiply
    395.20x = 593.07 × 258.04
  4. Step 4: Simplify right side
    395.20x = 153,035.78
  5. Step 5: Solve for x
    x = 153,035.78/395.20
  6. Step 6: Final answer
    x = 387.24

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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.