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Finding the Fourth Proportional to 447.74, 617.53 and 298.36

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Solution

The fourth proportional to 447.74, 617.53 and 298.36 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 617.53 = 298.36 : x
  2. Step 2: Convert to fraction form
    447.74/617.53 = 298.36/x
  3. Step 3: Cross multiply
    447.74x = 617.53 × 298.36
  4. Step 4: Simplify right side
    447.74x = 184,246.25
  5. Step 5: Solve for x
    x = 184,246.25/447.74
  6. Step 6: Final answer
    x = 411.50

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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.