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Finding the Fourth Proportional to 379.27, 569.04 and 263.66

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Solution

The fourth proportional to 379.27, 569.04 and 263.66 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.27 : 569.04 = 263.66 : x
  2. Step 2: Convert to fraction form
    379.27/569.04 = 263.66/x
  3. Step 3: Cross multiply
    379.27x = 569.04 × 263.66
  4. Step 4: Simplify right side
    379.27x = 150,030.24
  5. Step 5: Solve for x
    x = 150,030.24/379.27
  6. Step 6: Final answer
    x = 395.58

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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.