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Finding the Fourth Proportional to 688.31, 949.72 and 408.50

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Solution

The fourth proportional to 688.31, 949.72 and 408.50 is: 563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.31 : 949.72 = 408.50 : x
  2. Step 2: Convert to fraction form
    688.31/949.72 = 408.50/x
  3. Step 3: Cross multiply
    688.31x = 949.72 × 408.50
  4. Step 4: Simplify right side
    688.31x = 387,958.58
  5. Step 5: Solve for x
    x = 387,958.58/688.31
  6. Step 6: Final answer
    x = 563.64

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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.