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Finding the Fourth Proportional to 688.29, 949.83 and 408.66

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Solution

The fourth proportional to 688.29, 949.83 and 408.66 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.29 : 949.83 = 408.66 : x
  2. Step 2: Convert to fraction form
    688.29/949.83 = 408.66/x
  3. Step 3: Cross multiply
    688.29x = 949.83 × 408.66
  4. Step 4: Simplify right side
    688.29x = 388,157.53
  5. Step 5: Solve for x
    x = 388,157.53/688.29
  6. Step 6: Final answer
    x = 563.94

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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.