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Finding the Fourth Proportional to 394.64, 593.40 and 202.64

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Solution

The fourth proportional to 394.64, 593.40 and 202.64 is: 304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.64 : 593.40 = 202.64 : x
  2. Step 2: Convert to fraction form
    394.64/593.40 = 202.64/x
  3. Step 3: Cross multiply
    394.64x = 593.40 × 202.64
  4. Step 4: Simplify right side
    394.64x = 120,246.58
  5. Step 5: Solve for x
    x = 120,246.58/394.64
  6. Step 6: Final answer
    x = 304.70

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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.