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Finding the Fourth Proportional to 355.75, 533.69 and 209.75

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Solution

The fourth proportional to 355.75, 533.69 and 209.75 is: 314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 533.69 = 209.75 : x
  2. Step 2: Convert to fraction form
    355.75/533.69 = 209.75/x
  3. Step 3: Cross multiply
    355.75x = 533.69 × 209.75
  4. Step 4: Simplify right side
    355.75x = 111,938.55
  5. Step 5: Solve for x
    x = 111,938.55/355.75
  6. Step 6: Final answer
    x = 314.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.