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Finding the Fourth Proportional to 333.23, 460.04 and 209.04

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Solution

The fourth proportional to 333.23, 460.04 and 209.04 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.23 : 460.04 = 209.04 : x
  2. Step 2: Convert to fraction form
    333.23/460.04 = 209.04/x
  3. Step 3: Cross multiply
    333.23x = 460.04 × 209.04
  4. Step 4: Simplify right side
    333.23x = 96,165.72
  5. Step 5: Solve for x
    x = 96,165.72/333.23
  6. Step 6: Final answer
    x = 288.59

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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.