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Finding the Fourth Proportional to 921.14, 1,381.83 and 336.14

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Solution

The fourth proportional to 921.14, 1,381.83 and 336.14 is: 504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.14 : 1,381.83 = 336.14 : x
  2. Step 2: Convert to fraction form
    921.14/1,381.83 = 336.14/x
  3. Step 3: Cross multiply
    921.14x = 1,381.83 × 336.14
  4. Step 4: Simplify right side
    921.14x = 464,488.34
  5. Step 5: Solve for x
    x = 464,488.34/921.14
  6. Step 6: Final answer
    x = 504.25

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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.