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Finding the Fourth Proportional to 447.96, 618.21 and 298.32

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Solution

The fourth proportional to 447.96, 618.21 and 298.32 is: 411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 618.21 = 298.32 : x
  2. Step 2: Convert to fraction form
    447.96/618.21 = 298.32/x
  3. Step 3: Cross multiply
    447.96x = 618.21 × 298.32
  4. Step 4: Simplify right side
    447.96x = 184,425.01
  5. Step 5: Solve for x
    x = 184,425.01/447.96
  6. Step 6: Final answer
    x = 411.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.