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Finding the Fourth Proportional to 447.06, 617.63 and 342.57

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Solution

The fourth proportional to 447.06, 617.63 and 342.57 is: 473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.06 : 617.63 = 342.57 : x
  2. Step 2: Convert to fraction form
    447.06/617.63 = 342.57/x
  3. Step 3: Cross multiply
    447.06x = 617.63 × 342.57
  4. Step 4: Simplify right side
    447.06x = 211,579.80
  5. Step 5: Solve for x
    x = 211,579.80/447.06
  6. Step 6: Final answer
    x = 473.27

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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.