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Finding the Fourth Proportional to 922.02, 1,382.72 and 305.61

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Solution

The fourth proportional to 922.02, 1,382.72 and 305.61 is: 458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.02 : 1,382.72 = 305.61 : x
  2. Step 2: Convert to fraction form
    922.02/1,382.72 = 305.61/x
  3. Step 3: Cross multiply
    922.02x = 1,382.72 × 305.61
  4. Step 4: Simplify right side
    922.02x = 422,573.06
  5. Step 5: Solve for x
    x = 422,573.06/922.02
  6. Step 6: Final answer
    x = 458.31

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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.