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Finding the Fourth Proportional to 333.57, 460.18 and 209.17

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Solution

The fourth proportional to 333.57, 460.18 and 209.17 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 460.18 = 209.17 : x
  2. Step 2: Convert to fraction form
    333.57/460.18 = 209.17/x
  3. Step 3: Cross multiply
    333.57x = 460.18 × 209.17
  4. Step 4: Simplify right side
    333.57x = 96,256.69
  5. Step 5: Solve for x
    x = 96,256.69/333.57
  6. Step 6: Final answer
    x = 288.56

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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.