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Finding the Fourth Proportional to 586.29, 879.26 and 196.19

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Solution

The fourth proportional to 586.29, 879.26 and 196.19 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 879.26 = 196.19 : x
  2. Step 2: Convert to fraction form
    586.29/879.26 = 196.19/x
  3. Step 3: Cross multiply
    586.29x = 879.26 × 196.19
  4. Step 4: Simplify right side
    586.29x = 172,504.22
  5. Step 5: Solve for x
    x = 172,504.22/586.29
  6. Step 6: Final answer
    x = 294.23

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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.