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Finding the Fourth Proportional to 685.46, 945.57 and 475.27

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Solution

The fourth proportional to 685.46, 945.57 and 475.27 is: 655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 945.57 = 475.27 : x
  2. Step 2: Convert to fraction form
    685.46/945.57 = 475.27/x
  3. Step 3: Cross multiply
    685.46x = 945.57 × 475.27
  4. Step 4: Simplify right side
    685.46x = 449,400.47
  5. Step 5: Solve for x
    x = 449,400.47/685.46
  6. Step 6: Final answer
    x = 655.62

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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.