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Finding the Fourth Proportional to 445.46, 613.42 and 408.50

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Solution

The fourth proportional to 445.46, 613.42 and 408.50 is: 562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.46 : 613.42 = 408.50 : x
  2. Step 2: Convert to fraction form
    445.46/613.42 = 408.50/x
  3. Step 3: Cross multiply
    445.46x = 613.42 × 408.50
  4. Step 4: Simplify right side
    445.46x = 250,582.07
  5. Step 5: Solve for x
    x = 250,582.07/445.46
  6. Step 6: Final answer
    x = 562.52

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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.