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Finding the Fourth Proportional to 688.23, 949.54 and 408.56

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Solution

The fourth proportional to 688.23, 949.54 and 408.56 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 949.54 = 408.56 : x
  2. Step 2: Convert to fraction form
    688.23/949.54 = 408.56/x
  3. Step 3: Cross multiply
    688.23x = 949.54 × 408.56
  4. Step 4: Simplify right side
    688.23x = 387,944.06
  5. Step 5: Solve for x
    x = 387,944.06/688.23
  6. Step 6: Final answer
    x = 563.68

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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.