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Finding the Fourth Proportional to 333.87, 460.64 and 223.31

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Solution

The fourth proportional to 333.87, 460.64 and 223.31 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.87 : 460.64 = 223.31 : x
  2. Step 2: Convert to fraction form
    333.87/460.64 = 223.31/x
  3. Step 3: Cross multiply
    333.87x = 460.64 × 223.31
  4. Step 4: Simplify right side
    333.87x = 102,862.10
  5. Step 5: Solve for x
    x = 102,862.10/333.87
  6. Step 6: Final answer
    x = 308.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.