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Finding the Fourth Proportional to 333.09, 459.41 and 240.17

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Solution

The fourth proportional to 333.09, 459.41 and 240.17 is: 331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 459.41 = 240.17 : x
  2. Step 2: Convert to fraction form
    333.09/459.41 = 240.17/x
  3. Step 3: Cross multiply
    333.09x = 459.41 × 240.17
  4. Step 4: Simplify right side
    333.09x = 110,333.00
  5. Step 5: Solve for x
    x = 110,333.00/333.09
  6. Step 6: Final answer
    x = 331.24

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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.