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Finding the Fourth Proportional to 333.14, 499.70 and 294.26

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Solution

The fourth proportional to 333.14, 499.70 and 294.26 is: 441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 499.70 = 294.26 : x
  2. Step 2: Convert to fraction form
    333.14/499.70 = 294.26/x
  3. Step 3: Cross multiply
    333.14x = 499.70 × 294.26
  4. Step 4: Simplify right side
    333.14x = 147,039.96
  5. Step 5: Solve for x
    x = 147,039.96/333.14
  6. Step 6: Final answer
    x = 441.38

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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.