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Finding the Fourth Proportional to 467.63, 645.33 and 271.14

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Solution

The fourth proportional to 467.63, 645.33 and 271.14 is: 374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.63 : 645.33 = 271.14 : x
  2. Step 2: Convert to fraction form
    467.63/645.33 = 271.14/x
  3. Step 3: Cross multiply
    467.63x = 645.33 × 271.14
  4. Step 4: Simplify right side
    467.63x = 174,974.78
  5. Step 5: Solve for x
    x = 174,974.78/467.63
  6. Step 6: Final answer
    x = 374.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.