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Finding the Fourth Proportional to 447.12, 670.58 and 215.90

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Solution

The fourth proportional to 447.12, 670.58 and 215.90 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 670.58 = 215.90 : x
  2. Step 2: Convert to fraction form
    447.12/670.58 = 215.90/x
  3. Step 3: Cross multiply
    447.12x = 670.58 × 215.90
  4. Step 4: Simplify right side
    447.12x = 144,773.79
  5. Step 5: Solve for x
    x = 144,773.79/447.12
  6. Step 6: Final answer
    x = 323.79

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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.