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Finding the Fourth Proportional to 445.20, 613.20 and 423.24

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Solution

The fourth proportional to 445.20, 613.20 and 423.24 is: 582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.20 : 613.20 = 423.24 : x
  2. Step 2: Convert to fraction form
    445.20/613.20 = 423.24/x
  3. Step 3: Cross multiply
    445.20x = 613.20 × 423.24
  4. Step 4: Simplify right side
    445.20x = 259,530.77
  5. Step 5: Solve for x
    x = 259,530.77/445.20
  6. Step 6: Final answer
    x = 582.95

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