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Finding the Fourth Proportional to 454.24, 680.91 and 210.61

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Solution

The fourth proportional to 454.24, 680.91 and 210.61 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 680.91 = 210.61 : x
  2. Step 2: Convert to fraction form
    454.24/680.91 = 210.61/x
  3. Step 3: Cross multiply
    454.24x = 680.91 × 210.61
  4. Step 4: Simplify right side
    454.24x = 143,406.46
  5. Step 5: Solve for x
    x = 143,406.46/454.24
  6. Step 6: Final answer
    x = 315.71

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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.