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Finding the Fourth Proportional to 394.64, 543.40 and 386.12

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Solution

The fourth proportional to 394.64, 543.40 and 386.12 is: 531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.64 : 543.40 = 386.12 : x
  2. Step 2: Convert to fraction form
    394.64/543.40 = 386.12/x
  3. Step 3: Cross multiply
    394.64x = 543.40 × 386.12
  4. Step 4: Simplify right side
    394.64x = 209,817.61
  5. Step 5: Solve for x
    x = 209,817.61/394.64
  6. Step 6: Final answer
    x = 531.67

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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.