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Finding the Fourth Proportional to 688.74, 950.46 and 394.08

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Solution

The fourth proportional to 688.74, 950.46 and 394.08 is: 543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.74 : 950.46 = 394.08 : x
  2. Step 2: Convert to fraction form
    688.74/950.46 = 394.08/x
  3. Step 3: Cross multiply
    688.74x = 950.46 × 394.08
  4. Step 4: Simplify right side
    688.74x = 374,557.28
  5. Step 5: Solve for x
    x = 374,557.28/688.74
  6. Step 6: Final answer
    x = 543.83

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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.