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Finding the Fourth Proportional to 447.16, 670.92 and 190.84

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Solution

The fourth proportional to 447.16, 670.92 and 190.84 is: 286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 670.92 = 190.84 : x
  2. Step 2: Convert to fraction form
    447.16/670.92 = 190.84/x
  3. Step 3: Cross multiply
    447.16x = 670.92 × 190.84
  4. Step 4: Simplify right side
    447.16x = 128,038.37
  5. Step 5: Solve for x
    x = 128,038.37/447.16
  6. Step 6: Final answer
    x = 286.34

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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.