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Finding the Fourth Proportional to 333.62, 460.13 and 209.04

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Solution

The fourth proportional to 333.62, 460.13 and 209.04 is: 288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.62 : 460.13 = 209.04 : x
  2. Step 2: Convert to fraction form
    333.62/460.13 = 209.04/x
  3. Step 3: Cross multiply
    333.62x = 460.13 × 209.04
  4. Step 4: Simplify right side
    333.62x = 96,184.53
  5. Step 5: Solve for x
    x = 96,184.53/333.62
  6. Step 6: Final answer
    x = 288.31

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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.