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Finding the Fourth Proportional to 471.87, 706.33 and 297.94

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Solution

The fourth proportional to 471.87, 706.33 and 297.94 is: 445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 706.33 = 297.94 : x
  2. Step 2: Convert to fraction form
    471.87/706.33 = 297.94/x
  3. Step 3: Cross multiply
    471.87x = 706.33 × 297.94
  4. Step 4: Simplify right side
    471.87x = 210,440.70
  5. Step 5: Solve for x
    x = 210,440.70/471.87
  6. Step 6: Final answer
    x = 445.97

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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.