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Finding the Fourth Proportional to 685.82, 946.37 and 391.04

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Solution

The fourth proportional to 685.82, 946.37 and 391.04 is: 539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.82 : 946.37 = 391.04 : x
  2. Step 2: Convert to fraction form
    685.82/946.37 = 391.04/x
  3. Step 3: Cross multiply
    685.82x = 946.37 × 391.04
  4. Step 4: Simplify right side
    685.82x = 370,068.52
  5. Step 5: Solve for x
    x = 370,068.52/685.82
  6. Step 6: Final answer
    x = 539.60

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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.