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Finding the Fourth Proportional to 618.25, 927.63 and 271.40

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Solution

The fourth proportional to 618.25, 927.63 and 271.40 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.25 : 927.63 = 271.40 : x
  2. Step 2: Convert to fraction form
    618.25/927.63 = 271.40/x
  3. Step 3: Cross multiply
    618.25x = 927.63 × 271.40
  4. Step 4: Simplify right side
    618.25x = 251,758.10
  5. Step 5: Solve for x
    x = 251,758.10/618.25
  6. Step 6: Final answer
    x = 407.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.