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Finding the Fourth Proportional to 471.29, 706.82 and 197.59

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Solution

The fourth proportional to 471.29, 706.82 and 197.59 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.29 : 706.82 = 197.59 : x
  2. Step 2: Convert to fraction form
    471.29/706.82 = 197.59/x
  3. Step 3: Cross multiply
    471.29x = 706.82 × 197.59
  4. Step 4: Simplify right side
    471.29x = 139,657.88
  5. Step 5: Solve for x
    x = 139,657.88/471.29
  6. Step 6: Final answer
    x = 296.33

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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.