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Finding the Fourth Proportional to 333.78, 460.52 and 209.57

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Solution

The fourth proportional to 333.78, 460.52 and 209.57 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 460.52 = 209.57 : x
  2. Step 2: Convert to fraction form
    333.78/460.52 = 209.57/x
  3. Step 3: Cross multiply
    333.78x = 460.52 × 209.57
  4. Step 4: Simplify right side
    333.78x = 96,507.83
  5. Step 5: Solve for x
    x = 96,507.83/333.78
  6. Step 6: Final answer
    x = 289.14

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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.