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Finding the Fourth Proportional to 333.70, 460.62 and 209.45

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Solution

The fourth proportional to 333.70, 460.62 and 209.45 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 460.62 = 209.45 : x
  2. Step 2: Convert to fraction form
    333.70/460.62 = 209.45/x
  3. Step 3: Cross multiply
    333.70x = 460.62 × 209.45
  4. Step 4: Simplify right side
    333.70x = 96,478.01
  5. Step 5: Solve for x
    x = 96,478.01/333.70
  6. Step 6: Final answer
    x = 289.12

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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.