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Finding the Fourth Proportional to 379.34, 522.48 and 309.27

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Solution

The fourth proportional to 379.34, 522.48 and 309.27 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.34 : 522.48 = 309.27 : x
  2. Step 2: Convert to fraction form
    379.34/522.48 = 309.27/x
  3. Step 3: Cross multiply
    379.34x = 522.48 × 309.27
  4. Step 4: Simplify right side
    379.34x = 161,587.39
  5. Step 5: Solve for x
    x = 161,587.39/379.34
  6. Step 6: Final answer
    x = 425.97

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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.