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Finding the Fourth Proportional to 333.36, 459.81 and 305.82

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Solution

The fourth proportional to 333.36, 459.81 and 305.82 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 459.81 = 305.82 : x
  2. Step 2: Convert to fraction form
    333.36/459.81 = 305.82/x
  3. Step 3: Cross multiply
    333.36x = 459.81 × 305.82
  4. Step 4: Simplify right side
    333.36x = 140,617.57
  5. Step 5: Solve for x
    x = 140,617.57/333.36
  6. Step 6: Final answer
    x = 421.82

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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.