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Finding the Fourth Proportional to 688.57, 950.24 and 393.82

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Solution

The fourth proportional to 688.57, 950.24 and 393.82 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.57 : 950.24 = 393.82 : x
  2. Step 2: Convert to fraction form
    688.57/950.24 = 393.82/x
  3. Step 3: Cross multiply
    688.57x = 950.24 × 393.82
  4. Step 4: Simplify right side
    688.57x = 374,222.13
  5. Step 5: Solve for x
    x = 374,222.13/688.57
  6. Step 6: Final answer
    x = 543.48

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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.