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Finding the Fourth Proportional to 379.51, 569.31 and 174.07

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Solution

The fourth proportional to 379.51, 569.31 and 174.07 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.51 : 569.31 = 174.07 : x
  2. Step 2: Convert to fraction form
    379.51/569.31 = 174.07/x
  3. Step 3: Cross multiply
    379.51x = 569.31 × 174.07
  4. Step 4: Simplify right side
    379.51x = 99,099.79
  5. Step 5: Solve for x
    x = 99,099.79/379.51
  6. Step 6: Final answer
    x = 261.13

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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.