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Finding the Fourth Proportional to 379.69, 569.46 and 174.20

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Solution

The fourth proportional to 379.69, 569.46 and 174.20 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 569.46 = 174.20 : x
  2. Step 2: Convert to fraction form
    379.69/569.46 = 174.20/x
  3. Step 3: Cross multiply
    379.69x = 569.46 × 174.20
  4. Step 4: Simplify right side
    379.69x = 99,199.93
  5. Step 5: Solve for x
    x = 99,199.93/379.69
  6. Step 6: Final answer
    x = 261.27

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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.