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Finding the Fourth Proportional to 333.09, 499.67 and 116.69

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Solution

The fourth proportional to 333.09, 499.67 and 116.69 is: 175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 499.67 = 116.69 : x
  2. Step 2: Convert to fraction form
    333.09/499.67 = 116.69/x
  3. Step 3: Cross multiply
    333.09x = 499.67 × 116.69
  4. Step 4: Simplify right side
    333.09x = 58,303.41
  5. Step 5: Solve for x
    x = 58,303.41/333.09
  6. Step 6: Final answer
    x = 175.04

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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.