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Finding the Fourth Proportional to 467.66, 645.21 and 271.23

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Solution

The fourth proportional to 467.66, 645.21 and 271.23 is: 374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.66 : 645.21 = 271.23 : x
  2. Step 2: Convert to fraction form
    467.66/645.21 = 271.23/x
  3. Step 3: Cross multiply
    467.66x = 645.21 × 271.23
  4. Step 4: Simplify right side
    467.66x = 175,000.31
  5. Step 5: Solve for x
    x = 175,000.31/467.66
  6. Step 6: Final answer
    x = 374.21

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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.