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Finding the Fourth Proportional to 471.89, 707.43 and 198.21

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Solution

The fourth proportional to 471.89, 707.43 and 198.21 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.89 : 707.43 = 198.21 : x
  2. Step 2: Convert to fraction form
    471.89/707.43 = 198.21/x
  3. Step 3: Cross multiply
    471.89x = 707.43 × 198.21
  4. Step 4: Simplify right side
    471.89x = 140,223.10
  5. Step 5: Solve for x
    x = 140,223.10/471.89
  6. Step 6: Final answer
    x = 297.15

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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.