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Finding the Fourth Proportional to 618.47, 927.66 and 228.46

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Solution

The fourth proportional to 618.47, 927.66 and 228.46 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 927.66 = 228.46 : x
  2. Step 2: Convert to fraction form
    618.47/927.66 = 228.46/x
  3. Step 3: Cross multiply
    618.47x = 927.66 × 228.46
  4. Step 4: Simplify right side
    618.47x = 211,930.03
  5. Step 5: Solve for x
    x = 211,930.03/618.47
  6. Step 6: Final answer
    x = 342.67

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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.