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Finding the Fourth Proportional to 505.33, 758.09 and 197.33

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Solution

The fourth proportional to 505.33, 758.09 and 197.33 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.33 : 758.09 = 197.33 : x
  2. Step 2: Convert to fraction form
    505.33/758.09 = 197.33/x
  3. Step 3: Cross multiply
    505.33x = 758.09 × 197.33
  4. Step 4: Simplify right side
    505.33x = 149,590.60
  5. Step 5: Solve for x
    x = 149,590.60/505.33
  6. Step 6: Final answer
    x = 296.03

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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.