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Finding the Fourth Proportional to 618.10, 927.34 and 271.72

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Solution

The fourth proportional to 618.10, 927.34 and 271.72 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.10 : 927.34 = 271.72 : x
  2. Step 2: Convert to fraction form
    618.10/927.34 = 271.72/x
  3. Step 3: Cross multiply
    618.10x = 927.34 × 271.72
  4. Step 4: Simplify right side
    618.10x = 251,979.14
  5. Step 5: Solve for x
    x = 251,979.14/618.10
  6. Step 6: Final answer
    x = 407.67

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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.