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Finding the Fourth Proportional to 921.19, 1,381.27 and 304.73

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Solution

The fourth proportional to 921.19, 1,381.27 and 304.73 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.19 : 1,381.27 = 304.73 : x
  2. Step 2: Convert to fraction form
    921.19/1,381.27 = 304.73/x
  3. Step 3: Cross multiply
    921.19x = 1,381.27 × 304.73
  4. Step 4: Simplify right side
    921.19x = 420,914.41
  5. Step 5: Solve for x
    x = 420,914.41/921.19
  6. Step 6: Final answer
    x = 456.92

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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.