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Finding the Fourth Proportional to 688.66, 950.34 and 408.88

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Solution

The fourth proportional to 688.66, 950.34 and 408.88 is: 564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.66 : 950.34 = 408.88 : x
  2. Step 2: Convert to fraction form
    688.66/950.34 = 408.88/x
  3. Step 3: Cross multiply
    688.66x = 950.34 × 408.88
  4. Step 4: Simplify right side
    688.66x = 388,575.02
  5. Step 5: Solve for x
    x = 388,575.02/688.66
  6. Step 6: Final answer
    x = 564.25

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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.