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Finding the Fourth Proportional to 618.02, 926.92 and 228

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Solution

The fourth proportional to 618.02, 926.92 and 228 is: 341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.02 : 926.92 = 228 : x
  2. Step 2: Convert to fraction form
    618.02/926.92 = 228/x
  3. Step 3: Cross multiply
    618.02x = 926.92 × 228
  4. Step 4: Simplify right side
    618.02x = 211,337.19
  5. Step 5: Solve for x
    x = 211,337.19/618.02
  6. Step 6: Final answer
    x = 341.96

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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.