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Finding the Fourth Proportional to 471.19, 649.49 and 372.76

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Solution

The fourth proportional to 471.19, 649.49 and 372.76 is: 513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.19 : 649.49 = 372.76 : x
  2. Step 2: Convert to fraction form
    471.19/649.49 = 372.76/x
  3. Step 3: Cross multiply
    471.19x = 649.49 × 372.76
  4. Step 4: Simplify right side
    471.19x = 242,102.03
  5. Step 5: Solve for x
    x = 242,102.03/471.19
  6. Step 6: Final answer
    x = 513.81

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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.