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Finding the Fourth Proportional to 618.76, 852.99 and 471.14

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Solution

The fourth proportional to 618.76, 852.99 and 471.14 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.76 : 852.99 = 471.14 : x
  2. Step 2: Convert to fraction form
    618.76/852.99 = 471.14/x
  3. Step 3: Cross multiply
    618.76x = 852.99 × 471.14
  4. Step 4: Simplify right side
    618.76x = 401,874.88
  5. Step 5: Solve for x
    x = 401,874.88/618.76
  6. Step 6: Final answer
    x = 649.48

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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.