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Finding the Fourth Proportional to 685.76, 946.43 and 391.05

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Solution

The fourth proportional to 685.76, 946.43 and 391.05 is: 539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.76 : 946.43 = 391.05 : x
  2. Step 2: Convert to fraction form
    685.76/946.43 = 391.05/x
  3. Step 3: Cross multiply
    685.76x = 946.43 × 391.05
  4. Step 4: Simplify right side
    685.76x = 370,099.50
  5. Step 5: Solve for x
    x = 370,099.50/685.76
  6. Step 6: Final answer
    x = 539.70

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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.