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Finding the Fourth Proportional to 685.28, 945.86 and 423.14

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Solution

The fourth proportional to 685.28, 945.86 and 423.14 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.28 : 945.86 = 423.14 : x
  2. Step 2: Convert to fraction form
    685.28/945.86 = 423.14/x
  3. Step 3: Cross multiply
    685.28x = 945.86 × 423.14
  4. Step 4: Simplify right side
    685.28x = 400,232.06
  5. Step 5: Solve for x
    x = 400,232.06/685.28
  6. Step 6: Final answer
    x = 584.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.