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Finding the Fourth Proportional to 688.44, 949.84 and 408.72

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Solution

The fourth proportional to 688.44, 949.84 and 408.72 is: 563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.44 : 949.84 = 408.72 : x
  2. Step 2: Convert to fraction form
    688.44/949.84 = 408.72/x
  3. Step 3: Cross multiply
    688.44x = 949.84 × 408.72
  4. Step 4: Simplify right side
    688.44x = 388,218.60
  5. Step 5: Solve for x
    x = 388,218.60/688.44
  6. Step 6: Final answer
    x = 563.91

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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.