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Finding the Fourth Proportional to 397.76, 596.30 and 202.51

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Solution

The fourth proportional to 397.76, 596.30 and 202.51 is: 303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 596.30 = 202.51 : x
  2. Step 2: Convert to fraction form
    397.76/596.30 = 202.51/x
  3. Step 3: Cross multiply
    397.76x = 596.30 × 202.51
  4. Step 4: Simplify right side
    397.76x = 120,754.21
  5. Step 5: Solve for x
    x = 120,754.21/397.76
  6. Step 6: Final answer
    x = 303.58

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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.