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Finding the Fourth Proportional to 618.22, 927.51 and 309.70

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Solution

The fourth proportional to 618.22, 927.51 and 309.70 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.22 : 927.51 = 309.70 : x
  2. Step 2: Convert to fraction form
    618.22/927.51 = 309.70/x
  3. Step 3: Cross multiply
    618.22x = 927.51 × 309.70
  4. Step 4: Simplify right side
    618.22x = 287,248.30
  5. Step 5: Solve for x
    x = 287,248.30/618.22
  6. Step 6: Final answer
    x = 464.64

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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.