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Finding the Fourth Proportional to 471.40, 706.71 and 197.69

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Solution

The fourth proportional to 471.40, 706.71 and 197.69 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.40 : 706.71 = 197.69 : x
  2. Step 2: Convert to fraction form
    471.40/706.71 = 197.69/x
  3. Step 3: Cross multiply
    471.40x = 706.71 × 197.69
  4. Step 4: Simplify right side
    471.40x = 139,709.50
  5. Step 5: Solve for x
    x = 139,709.50/471.40
  6. Step 6: Final answer
    x = 296.37

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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.