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Finding the Fourth Proportional to 475.05, 711.48 and 282.27

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Solution

The fourth proportional to 475.05, 711.48 and 282.27 is: 422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.05 : 711.48 = 282.27 : x
  2. Step 2: Convert to fraction form
    475.05/711.48 = 282.27/x
  3. Step 3: Cross multiply
    475.05x = 711.48 × 282.27
  4. Step 4: Simplify right side
    475.05x = 200,829.46
  5. Step 5: Solve for x
    x = 200,829.46/475.05
  6. Step 6: Final answer
    x = 422.75

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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.