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Finding the Fourth Proportional to 688.96, 950.64 and 394.12

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Solution

The fourth proportional to 688.96, 950.64 and 394.12 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.96 : 950.64 = 394.12 : x
  2. Step 2: Convert to fraction form
    688.96/950.64 = 394.12/x
  3. Step 3: Cross multiply
    688.96x = 950.64 × 394.12
  4. Step 4: Simplify right side
    688.96x = 374,666.24
  5. Step 5: Solve for x
    x = 374,666.24/688.96
  6. Step 6: Final answer
    x = 543.81

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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.