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Finding the Fourth Proportional to 684.43, 944.48 and 385.67

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Solution

The fourth proportional to 684.43, 944.48 and 385.67 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.43 : 944.48 = 385.67 : x
  2. Step 2: Convert to fraction form
    684.43/944.48 = 385.67/x
  3. Step 3: Cross multiply
    684.43x = 944.48 × 385.67
  4. Step 4: Simplify right side
    684.43x = 364,258.03
  5. Step 5: Solve for x
    x = 364,258.03/684.43
  6. Step 6: Final answer
    x = 532.21

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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.