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Finding the Fourth Proportional to 685.31, 945.52 and 390.56

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Solution

The fourth proportional to 685.31, 945.52 and 390.56 is: 538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.31 : 945.52 = 390.56 : x
  2. Step 2: Convert to fraction form
    685.31/945.52 = 390.56/x
  3. Step 3: Cross multiply
    685.31x = 945.52 × 390.56
  4. Step 4: Simplify right side
    685.31x = 369,276.59
  5. Step 5: Solve for x
    x = 369,276.59/685.31
  6. Step 6: Final answer
    x = 538.85

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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.