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Finding the Fourth Proportional to 331.58, 498.49 and 271.15

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Solution

The fourth proportional to 331.58, 498.49 and 271.15 is: 407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.58 : 498.49 = 271.15 : x
  2. Step 2: Convert to fraction form
    331.58/498.49 = 271.15/x
  3. Step 3: Cross multiply
    331.58x = 498.49 × 271.15
  4. Step 4: Simplify right side
    331.58x = 135,162.39
  5. Step 5: Solve for x
    x = 135,162.39/331.58
  6. Step 6: Final answer
    x = 407.64

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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.