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Finding the Fourth Proportional to 379.77, 569.65 and 257.73

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Solution

The fourth proportional to 379.77, 569.65 and 257.73 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 569.65 = 257.73 : x
  2. Step 2: Convert to fraction form
    379.77/569.65 = 257.73/x
  3. Step 3: Cross multiply
    379.77x = 569.65 × 257.73
  4. Step 4: Simplify right side
    379.77x = 146,813.05
  5. Step 5: Solve for x
    x = 146,813.05/379.77
  6. Step 6: Final answer
    x = 386.59

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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.