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Finding the Fourth Proportional to 618.96, 927.78 and 228.60

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Solution

The fourth proportional to 618.96, 927.78 and 228.60 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.96 : 927.78 = 228.60 : x
  2. Step 2: Convert to fraction form
    618.96/927.78 = 228.60/x
  3. Step 3: Cross multiply
    618.96x = 927.78 × 228.60
  4. Step 4: Simplify right side
    618.96x = 212,090.51
  5. Step 5: Solve for x
    x = 212,090.51/618.96
  6. Step 6: Final answer
    x = 342.66

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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.