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Finding the Fourth Proportional to 379.83, 524.31 and 269.49

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Solution

The fourth proportional to 379.83, 524.31 and 269.49 is: 372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.83 : 524.31 = 269.49 : x
  2. Step 2: Convert to fraction form
    379.83/524.31 = 269.49/x
  3. Step 3: Cross multiply
    379.83x = 524.31 × 269.49
  4. Step 4: Simplify right side
    379.83x = 141,296.30
  5. Step 5: Solve for x
    x = 141,296.30/379.83
  6. Step 6: Final answer
    x = 372.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.