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Finding the Fourth Proportional to 379.46, 569.50 and 206.34

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Solution

The fourth proportional to 379.46, 569.50 and 206.34 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.46 : 569.50 = 206.34 : x
  2. Step 2: Convert to fraction form
    379.46/569.50 = 206.34/x
  3. Step 3: Cross multiply
    379.46x = 569.50 × 206.34
  4. Step 4: Simplify right side
    379.46x = 117,510.63
  5. Step 5: Solve for x
    x = 117,510.63/379.46
  6. Step 6: Final answer
    x = 309.68

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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.