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Finding the Fourth Proportional to 445.72, 613.92 and 416.56

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Solution

The fourth proportional to 445.72, 613.92 and 416.56 is: 573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.72 : 613.92 = 416.56 : x
  2. Step 2: Convert to fraction form
    445.72/613.92 = 416.56/x
  3. Step 3: Cross multiply
    445.72x = 613.92 × 416.56
  4. Step 4: Simplify right side
    445.72x = 255,734.52
  5. Step 5: Solve for x
    x = 255,734.52/445.72
  6. Step 6: Final answer
    x = 573.76

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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.