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Finding the Fourth Proportional to 397.39, 596.45 and 202.53

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Solution

The fourth proportional to 397.39, 596.45 and 202.53 is: 303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.39 : 596.45 = 202.53 : x
  2. Step 2: Convert to fraction form
    397.39/596.45 = 202.53/x
  3. Step 3: Cross multiply
    397.39x = 596.45 × 202.53
  4. Step 4: Simplify right side
    397.39x = 120,799.02
  5. Step 5: Solve for x
    x = 120,799.02/397.39
  6. Step 6: Final answer
    x = 303.98

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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.