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Finding the Fourth Proportional to 333.98, 460.74 and 209.55

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Solution

The fourth proportional to 333.98, 460.74 and 209.55 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.98 : 460.74 = 209.55 : x
  2. Step 2: Convert to fraction form
    333.98/460.74 = 209.55/x
  3. Step 3: Cross multiply
    333.98x = 460.74 × 209.55
  4. Step 4: Simplify right side
    333.98x = 96,548.59
  5. Step 5: Solve for x
    x = 96,548.59/333.98
  6. Step 6: Final answer
    x = 289.09

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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.