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Finding the Fourth Proportional to 333.99, 460.73 and 310.52

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Solution

The fourth proportional to 333.99, 460.73 and 310.52 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.99 : 460.73 = 310.52 : x
  2. Step 2: Convert to fraction form
    333.99/460.73 = 310.52/x
  3. Step 3: Cross multiply
    333.99x = 460.73 × 310.52
  4. Step 4: Simplify right side
    333.99x = 143,067.81
  5. Step 5: Solve for x
    x = 143,067.81/333.99
  6. Step 6: Final answer
    x = 428.36

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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.