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Finding the Fourth Proportional to 379.87, 524.42 and 263.23

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Solution

The fourth proportional to 379.87, 524.42 and 263.23 is: 363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.87 : 524.42 = 263.23 : x
  2. Step 2: Convert to fraction form
    379.87/524.42 = 263.23/x
  3. Step 3: Cross multiply
    379.87x = 524.42 × 263.23
  4. Step 4: Simplify right side
    379.87x = 138,043.08
  5. Step 5: Solve for x
    x = 138,043.08/379.87
  6. Step 6: Final answer
    x = 363.40

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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.