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Finding the Fourth Proportional to 688.72, 950.32 and 393.96

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Solution

The fourth proportional to 688.72, 950.32 and 393.96 is: 543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.72 : 950.32 = 393.96 : x
  2. Step 2: Convert to fraction form
    688.72/950.32 = 393.96/x
  3. Step 3: Cross multiply
    688.72x = 950.32 × 393.96
  4. Step 4: Simplify right side
    688.72x = 374,388.07
  5. Step 5: Solve for x
    x = 374,388.07/688.72
  6. Step 6: Final answer
    x = 543.60

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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.