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Finding the Fourth Proportional to 471.15, 649.97 and 305.42

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Solution

The fourth proportional to 471.15, 649.97 and 305.42 is: 421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 649.97 = 305.42 : x
  2. Step 2: Convert to fraction form
    471.15/649.97 = 305.42/x
  3. Step 3: Cross multiply
    471.15x = 649.97 × 305.42
  4. Step 4: Simplify right side
    471.15x = 198,509.06
  5. Step 5: Solve for x
    x = 198,509.06/471.15
  6. Step 6: Final answer
    x = 421.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.