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Finding the Fourth Proportional to 475.53, 711.46 and 440.97

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Solution

The fourth proportional to 475.53, 711.46 and 440.97 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.53 : 711.46 = 440.97 : x
  2. Step 2: Convert to fraction form
    475.53/711.46 = 440.97/x
  3. Step 3: Cross multiply
    475.53x = 711.46 × 440.97
  4. Step 4: Simplify right side
    475.53x = 313,732.52
  5. Step 5: Solve for x
    x = 313,732.52/475.53
  6. Step 6: Final answer
    x = 659.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.