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Finding the Fourth Proportional to 921.12, 1,381.15 and 304.66

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Solution

The fourth proportional to 921.12, 1,381.15 and 304.66 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.12 : 1,381.15 = 304.66 : x
  2. Step 2: Convert to fraction form
    921.12/1,381.15 = 304.66/x
  3. Step 3: Cross multiply
    921.12x = 1,381.15 × 304.66
  4. Step 4: Simplify right side
    921.12x = 420,783.27
  5. Step 5: Solve for x
    x = 420,783.27/921.12
  6. Step 6: Final answer
    x = 456.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.