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Finding the Fourth Proportional to 570.74, 855.73 and 223.85

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Solution

The fourth proportional to 570.74, 855.73 and 223.85 is: 335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 855.73 = 223.85 : x
  2. Step 2: Convert to fraction form
    570.74/855.73 = 223.85/x
  3. Step 3: Cross multiply
    570.74x = 855.73 × 223.85
  4. Step 4: Simplify right side
    570.74x = 191,556.74
  5. Step 5: Solve for x
    x = 191,556.74/570.74
  6. Step 6: Final answer
    x = 335.63

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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.