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Finding the Fourth Proportional to 333.69, 459.45 and 274.80

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Solution

The fourth proportional to 333.69, 459.45 and 274.80 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.69 : 459.45 = 274.80 : x
  2. Step 2: Convert to fraction form
    333.69/459.45 = 274.80/x
  3. Step 3: Cross multiply
    333.69x = 459.45 × 274.80
  4. Step 4: Simplify right side
    333.69x = 126,256.86
  5. Step 5: Solve for x
    x = 126,256.86/333.69
  6. Step 6: Final answer
    x = 378.37

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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.