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Finding the Fourth Proportional to 685.06, 945.44 and 390.31

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Solution

The fourth proportional to 685.06, 945.44 and 390.31 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.06 : 945.44 = 390.31 : x
  2. Step 2: Convert to fraction form
    685.06/945.44 = 390.31/x
  3. Step 3: Cross multiply
    685.06x = 945.44 × 390.31
  4. Step 4: Simplify right side
    685.06x = 369,014.69
  5. Step 5: Solve for x
    x = 369,014.69/685.06
  6. Step 6: Final answer
    x = 538.66

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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.