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Finding the Fourth Proportional to 874.26, 1,311.37 and 257.98

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Solution

The fourth proportional to 874.26, 1,311.37 and 257.98 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,311.37 = 257.98 : x
  2. Step 2: Convert to fraction form
    874.26/1,311.37 = 257.98/x
  3. Step 3: Cross multiply
    874.26x = 1,311.37 × 257.98
  4. Step 4: Simplify right side
    874.26x = 338,307.23
  5. Step 5: Solve for x
    x = 338,307.23/874.26
  6. Step 6: Final answer
    x = 386.96

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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.