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Finding the Fourth Proportional to 688.74, 950.48 and 394.05

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Solution

The fourth proportional to 688.74, 950.48 and 394.05 is: 543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.74 : 950.48 = 394.05 : x
  2. Step 2: Convert to fraction form
    688.74/950.48 = 394.05/x
  3. Step 3: Cross multiply
    688.74x = 950.48 × 394.05
  4. Step 4: Simplify right side
    688.74x = 374,534.67
  5. Step 5: Solve for x
    x = 374,534.67/688.74
  6. Step 6: Final answer
    x = 543.80

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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.