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Finding the Fourth Proportional to 618.30, 927.91 and 293.67

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Solution

The fourth proportional to 618.30, 927.91 and 293.67 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 927.91 = 293.67 : x
  2. Step 2: Convert to fraction form
    618.30/927.91 = 293.67/x
  3. Step 3: Cross multiply
    618.30x = 927.91 × 293.67
  4. Step 4: Simplify right side
    618.30x = 272,499.33
  5. Step 5: Solve for x
    x = 272,499.33/618.30
  6. Step 6: Final answer
    x = 440.72

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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.