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Finding the Fourth Proportional to 685.54, 945.82 and 390.70

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Solution

The fourth proportional to 685.54, 945.82 and 390.70 is: 539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.54 : 945.82 = 390.70 : x
  2. Step 2: Convert to fraction form
    685.54/945.82 = 390.70/x
  3. Step 3: Cross multiply
    685.54x = 945.82 × 390.70
  4. Step 4: Simplify right side
    685.54x = 369,531.87
  5. Step 5: Solve for x
    x = 369,531.87/685.54
  6. Step 6: Final answer
    x = 539.04

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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.