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Finding the Fourth Proportional to 333.72, 459.96 and 268.20

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Solution

The fourth proportional to 333.72, 459.96 and 268.20 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 459.96 = 268.20 : x
  2. Step 2: Convert to fraction form
    333.72/459.96 = 268.20/x
  3. Step 3: Cross multiply
    333.72x = 459.96 × 268.20
  4. Step 4: Simplify right side
    333.72x = 123,361.27
  5. Step 5: Solve for x
    x = 123,361.27/333.72
  6. Step 6: Final answer
    x = 369.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.