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Finding the Fourth Proportional to 921.88, 1,382.88 and 305.57

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Solution

The fourth proportional to 921.88, 1,382.88 and 305.57 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,382.88 = 305.57 : x
  2. Step 2: Convert to fraction form
    921.88/1,382.88 = 305.57/x
  3. Step 3: Cross multiply
    921.88x = 1,382.88 × 305.57
  4. Step 4: Simplify right side
    921.88x = 422,559.73
  5. Step 5: Solve for x
    x = 422,559.73/921.88
  6. Step 6: Final answer
    x = 458.37

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1.5x scale

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.