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Finding the Fourth Proportional to 333.84, 460.84 and 209.56

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Solution

The fourth proportional to 333.84, 460.84 and 209.56 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 460.84 = 209.56 : x
  2. Step 2: Convert to fraction form
    333.84/460.84 = 209.56/x
  3. Step 3: Cross multiply
    333.84x = 460.84 × 209.56
  4. Step 4: Simplify right side
    333.84x = 96,573.63
  5. Step 5: Solve for x
    x = 96,573.63/333.84
  6. Step 6: Final answer
    x = 289.28

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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.