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Finding the Fourth Proportional to 412.26, 617.75 and 257.77

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Solution

The fourth proportional to 412.26, 617.75 and 257.77 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 617.75 = 257.77 : x
  2. Step 2: Convert to fraction form
    412.26/617.75 = 257.77/x
  3. Step 3: Cross multiply
    412.26x = 617.75 × 257.77
  4. Step 4: Simplify right side
    412.26x = 159,237.42
  5. Step 5: Solve for x
    x = 159,237.42/412.26
  6. Step 6: Final answer
    x = 386.26

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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.