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Finding the Fourth Proportional to 921.23, 1,381.28 and 304.76

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Solution

The fourth proportional to 921.23, 1,381.28 and 304.76 is: 456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.23 : 1,381.28 = 304.76 : x
  2. Step 2: Convert to fraction form
    921.23/1,381.28 = 304.76/x
  3. Step 3: Cross multiply
    921.23x = 1,381.28 × 304.76
  4. Step 4: Simplify right side
    921.23x = 420,952.75
  5. Step 5: Solve for x
    x = 420,952.75/921.23
  6. Step 6: Final answer
    x = 456.95

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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.