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Finding the Fourth Proportional to 688.86, 950.81 and 394.23

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Solution

The fourth proportional to 688.86, 950.81 and 394.23 is: 544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 950.81 = 394.23 : x
  2. Step 2: Convert to fraction form
    688.86/950.81 = 394.23/x
  3. Step 3: Cross multiply
    688.86x = 950.81 × 394.23
  4. Step 4: Simplify right side
    688.86x = 374,837.83
  5. Step 5: Solve for x
    x = 374,837.83/688.86
  6. Step 6: Final answer
    x = 544.14

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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.