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Finding the Fourth Proportional to 473.72, 711.66 and 281.48

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Solution

The fourth proportional to 473.72, 711.66 and 281.48 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 711.66 = 281.48 : x
  2. Step 2: Convert to fraction form
    473.72/711.66 = 281.48/x
  3. Step 3: Cross multiply
    473.72x = 711.66 × 281.48
  4. Step 4: Simplify right side
    473.72x = 200,318.06
  5. Step 5: Solve for x
    x = 200,318.06/473.72
  6. Step 6: Final answer
    x = 422.86

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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.