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Finding the Fourth Proportional to 618.07, 852.94 and 356.14

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Solution

The fourth proportional to 618.07, 852.94 and 356.14 is: 491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.07 : 852.94 = 356.14 : x
  2. Step 2: Convert to fraction form
    618.07/852.94 = 356.14/x
  3. Step 3: Cross multiply
    618.07x = 852.94 × 356.14
  4. Step 4: Simplify right side
    618.07x = 303,766.05
  5. Step 5: Solve for x
    x = 303,766.05/618.07
  6. Step 6: Final answer
    x = 491.48

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Why These Related Problems?

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