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Finding the Fourth Proportional to 379.82, 569.22 and 288.24

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Solution

The fourth proportional to 379.82, 569.22 and 288.24 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.82 : 569.22 = 288.24 : x
  2. Step 2: Convert to fraction form
    379.82/569.22 = 288.24/x
  3. Step 3: Cross multiply
    379.82x = 569.22 × 288.24
  4. Step 4: Simplify right side
    379.82x = 164,071.97
  5. Step 5: Solve for x
    x = 164,071.97/379.82
  6. Step 6: Final answer
    x = 431.97

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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.