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Finding the Fourth Proportional to 412.65, 619.16 and 217.64

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Solution

The fourth proportional to 412.65, 619.16 and 217.64 is: 326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.65 : 619.16 = 217.64 : x
  2. Step 2: Convert to fraction form
    412.65/619.16 = 217.64/x
  3. Step 3: Cross multiply
    412.65x = 619.16 × 217.64
  4. Step 4: Simplify right side
    412.65x = 134,754.44
  5. Step 5: Solve for x
    x = 134,754.44/412.65
  6. Step 6: Final answer
    x = 326.56

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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.