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Finding the Fourth Proportional to 395.75, 593.51 and 152.09

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Solution

The fourth proportional to 395.75, 593.51 and 152.09 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.75 : 593.51 = 152.09 : x
  2. Step 2: Convert to fraction form
    395.75/593.51 = 152.09/x
  3. Step 3: Cross multiply
    395.75x = 593.51 × 152.09
  4. Step 4: Simplify right side
    395.75x = 90,267.66
  5. Step 5: Solve for x
    x = 90,267.66/395.75
  6. Step 6: Final answer
    x = 228.10

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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.