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Finding the Fourth Proportional to 471.34, 707.01 and 197.14

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Solution

The fourth proportional to 471.34, 707.01 and 197.14 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.34 : 707.01 = 197.14 : x
  2. Step 2: Convert to fraction form
    471.34/707.01 = 197.14/x
  3. Step 3: Cross multiply
    471.34x = 707.01 × 197.14
  4. Step 4: Simplify right side
    471.34x = 139,379.95
  5. Step 5: Solve for x
    x = 139,379.95/471.34
  6. Step 6: Final answer
    x = 295.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.