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Finding the Fourth Proportional to 333.84, 460.49 and 235.43

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Solution

The fourth proportional to 333.84, 460.49 and 235.43 is: 324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 460.49 = 235.43 : x
  2. Step 2: Convert to fraction form
    333.84/460.49 = 235.43/x
  3. Step 3: Cross multiply
    333.84x = 460.49 × 235.43
  4. Step 4: Simplify right side
    333.84x = 108,409.68
  5. Step 5: Solve for x
    x = 108,409.68/333.84
  6. Step 6: Final answer
    x = 324.74

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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.