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Finding the Fourth Proportional to 379.89, 569.83 and 328.38

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Solution

The fourth proportional to 379.89, 569.83 and 328.38 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 569.83 = 328.38 : x
  2. Step 2: Convert to fraction form
    379.89/569.83 = 328.38/x
  3. Step 3: Cross multiply
    379.89x = 569.83 × 328.38
  4. Step 4: Simplify right side
    379.89x = 187,119.11
  5. Step 5: Solve for x
    x = 187,119.11/379.89
  6. Step 6: Final answer
    x = 492.56

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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.