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Finding the Fourth Proportional to 684.27, 944.14 and 435.49

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Solution

The fourth proportional to 684.27, 944.14 and 435.49 is: 600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.27 : 944.14 = 435.49 : x
  2. Step 2: Convert to fraction form
    684.27/944.14 = 435.49/x
  3. Step 3: Cross multiply
    684.27x = 944.14 × 435.49
  4. Step 4: Simplify right side
    684.27x = 411,161.35
  5. Step 5: Solve for x
    x = 411,161.35/684.27
  6. Step 6: Final answer
    x = 600.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.