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Finding the Fourth Proportional to 618.19, 926.53 and 227.87

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Solution

The fourth proportional to 618.19, 926.53 and 227.87 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.19 : 926.53 = 227.87 : x
  2. Step 2: Convert to fraction form
    618.19/926.53 = 227.87/x
  3. Step 3: Cross multiply
    618.19x = 926.53 × 227.87
  4. Step 4: Simplify right side
    618.19x = 211,128.39
  5. Step 5: Solve for x
    x = 211,128.39/618.19
  6. Step 6: Final answer
    x = 341.53

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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.