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Finding the Fourth Proportional to 688.68, 950.52 and 408.96

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Solution

The fourth proportional to 688.68, 950.52 and 408.96 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.68 : 950.52 = 408.96 : x
  2. Step 2: Convert to fraction form
    688.68/950.52 = 408.96/x
  3. Step 3: Cross multiply
    688.68x = 950.52 × 408.96
  4. Step 4: Simplify right side
    688.68x = 388,724.66
  5. Step 5: Solve for x
    x = 388,724.66/688.68
  6. Step 6: Final answer
    x = 564.45

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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.