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Finding the Fourth Proportional to 333.20, 460.03 and 209.03

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Solution

The fourth proportional to 333.20, 460.03 and 209.03 is: 288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.20 : 460.03 = 209.03 : x
  2. Step 2: Convert to fraction form
    333.20/460.03 = 209.03/x
  3. Step 3: Cross multiply
    333.20x = 460.03 × 209.03
  4. Step 4: Simplify right side
    333.20x = 96,160.07
  5. Step 5: Solve for x
    x = 96,160.07/333.20
  6. Step 6: Final answer
    x = 288.60

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