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Finding the Fourth Proportional to 395.64, 593.10 and 189.99

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Solution

The fourth proportional to 395.64, 593.10 and 189.99 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 593.10 = 189.99 : x
  2. Step 2: Convert to fraction form
    395.64/593.10 = 189.99/x
  3. Step 3: Cross multiply
    395.64x = 593.10 × 189.99
  4. Step 4: Simplify right side
    395.64x = 112,683.07
  5. Step 5: Solve for x
    x = 112,683.07/395.64
  6. Step 6: Final answer
    x = 284.81

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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.