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Finding the Fourth Proportional to 685.26, 945.72 and 390.51

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Solution

The fourth proportional to 685.26, 945.72 and 390.51 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 945.72 = 390.51 : x
  2. Step 2: Convert to fraction form
    685.26/945.72 = 390.51/x
  3. Step 3: Cross multiply
    685.26x = 945.72 × 390.51
  4. Step 4: Simplify right side
    685.26x = 369,313.12
  5. Step 5: Solve for x
    x = 369,313.12/685.26
  6. Step 6: Final answer
    x = 538.94

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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.