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Finding the Fourth Proportional to 835.96, 1,254.12 and 258.80

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Solution

The fourth proportional to 835.96, 1,254.12 and 258.80 is: 388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.96 : 1,254.12 = 258.80 : x
  2. Step 2: Convert to fraction form
    835.96/1,254.12 = 258.80/x
  3. Step 3: Cross multiply
    835.96x = 1,254.12 × 258.80
  4. Step 4: Simplify right side
    835.96x = 324,566.26
  5. Step 5: Solve for x
    x = 324,566.26/835.96
  6. Step 6: Final answer
    x = 388.26

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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.