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Finding the Fourth Proportional to 379.60, 569.11 and 174.23

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Solution

The fourth proportional to 379.60, 569.11 and 174.23 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.60 : 569.11 = 174.23 : x
  2. Step 2: Convert to fraction form
    379.60/569.11 = 174.23/x
  3. Step 3: Cross multiply
    379.60x = 569.11 × 174.23
  4. Step 4: Simplify right side
    379.60x = 99,156.04
  5. Step 5: Solve for x
    x = 99,156.04/379.60
  6. Step 6: Final answer
    x = 261.21

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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.