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Finding the Fourth Proportional to 618.41, 926.84 and 293.06

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Solution

The fourth proportional to 618.41, 926.84 and 293.06 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.41 : 926.84 = 293.06 : x
  2. Step 2: Convert to fraction form
    618.41/926.84 = 293.06/x
  3. Step 3: Cross multiply
    618.41x = 926.84 × 293.06
  4. Step 4: Simplify right side
    618.41x = 271,622.78
  5. Step 5: Solve for x
    x = 271,622.78/618.41
  6. Step 6: Final answer
    x = 439.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.