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Finding the Fourth Proportional to 333.53, 499.61 and 252.12

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Solution

The fourth proportional to 333.53, 499.61 and 252.12 is: 377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.53 : 499.61 = 252.12 : x
  2. Step 2: Convert to fraction form
    333.53/499.61 = 252.12/x
  3. Step 3: Cross multiply
    333.53x = 499.61 × 252.12
  4. Step 4: Simplify right side
    333.53x = 125,960.41
  5. Step 5: Solve for x
    x = 125,960.41/333.53
  6. Step 6: Final answer
    x = 377.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.