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Finding the Fourth Proportional to 618, 926.94 and 293.16

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Solution

The fourth proportional to 618, 926.94 and 293.16 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    618 : 926.94 = 293.16 : x
  2. Step 2: Convert to fraction form
    618/926.94 = 293.16/x
  3. Step 3: Cross multiply
    618x = 926.94 × 293.16
  4. Step 4: Simplify right side
    618x = 271,741.73
  5. Step 5: Solve for x
    x = 271,741.73/618
  6. Step 6: Final answer
    x = 439.71

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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.