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Finding the Fourth Proportional to 379.26, 522.93 and 305.46

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Solution

The fourth proportional to 379.26, 522.93 and 305.46 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 522.93 = 305.46 : x
  2. Step 2: Convert to fraction form
    379.26/522.93 = 305.46/x
  3. Step 3: Cross multiply
    379.26x = 522.93 × 305.46
  4. Step 4: Simplify right side
    379.26x = 159,734.20
  5. Step 5: Solve for x
    x = 159,734.20/379.26
  6. Step 6: Final answer
    x = 421.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.