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Finding the Fourth Proportional to 688.21, 949.62 and 408.41

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Solution

The fourth proportional to 688.21, 949.62 and 408.41 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.21 : 949.62 = 408.41 : x
  2. Step 2: Convert to fraction form
    688.21/949.62 = 408.41/x
  3. Step 3: Cross multiply
    688.21x = 949.62 × 408.41
  4. Step 4: Simplify right side
    688.21x = 387,834.65
  5. Step 5: Solve for x
    x = 387,834.65/688.21
  6. Step 6: Final answer
    x = 563.54

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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.