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Finding the Fourth Proportional to 333.78, 460.53 and 209.43

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Solution

The fourth proportional to 333.78, 460.53 and 209.43 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 460.53 = 209.43 : x
  2. Step 2: Convert to fraction form
    333.78/460.53 = 209.43/x
  3. Step 3: Cross multiply
    333.78x = 460.53 × 209.43
  4. Step 4: Simplify right side
    333.78x = 96,448.80
  5. Step 5: Solve for x
    x = 96,448.80/333.78
  6. Step 6: Final answer
    x = 288.96

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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.