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Finding the Fourth Proportional to 618.14, 852.55 and 397.11

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Solution

The fourth proportional to 618.14, 852.55 and 397.11 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.14 : 852.55 = 397.11 : x
  2. Step 2: Convert to fraction form
    618.14/852.55 = 397.11/x
  3. Step 3: Cross multiply
    618.14x = 852.55 × 397.11
  4. Step 4: Simplify right side
    618.14x = 338,556.13
  5. Step 5: Solve for x
    x = 338,556.13/618.14
  6. Step 6: Final answer
    x = 547.70

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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.