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Finding the Fourth Proportional to 447.71, 670.98 and 216.14

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Solution

The fourth proportional to 447.71, 670.98 and 216.14 is: 323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.71 : 670.98 = 216.14 : x
  2. Step 2: Convert to fraction form
    447.71/670.98 = 216.14/x
  3. Step 3: Cross multiply
    447.71x = 670.98 × 216.14
  4. Step 4: Simplify right side
    447.71x = 145,023.07
  5. Step 5: Solve for x
    x = 145,023.07/447.71
  6. Step 6: Final answer
    x = 323.92

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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.