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Finding the Fourth Proportional to 573.75, 860.99 and 231.75

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Solution

The fourth proportional to 573.75, 860.99 and 231.75 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.75 : 860.99 = 231.75 : x
  2. Step 2: Convert to fraction form
    573.75/860.99 = 231.75/x
  3. Step 3: Cross multiply
    573.75x = 860.99 × 231.75
  4. Step 4: Simplify right side
    573.75x = 199,533.27
  5. Step 5: Solve for x
    x = 199,533.27/573.75
  6. Step 6: Final answer
    x = 347.77

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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.