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Finding the Fourth Proportional to 371.29, 556.42 and 289.75

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Solution

The fourth proportional to 371.29, 556.42 and 289.75 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.29 : 556.42 = 289.75 : x
  2. Step 2: Convert to fraction form
    371.29/556.42 = 289.75/x
  3. Step 3: Cross multiply
    371.29x = 556.42 × 289.75
  4. Step 4: Simplify right side
    371.29x = 161,222.70
  5. Step 5: Solve for x
    x = 161,222.70/371.29
  6. Step 6: Final answer
    x = 434.22

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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.