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Finding the Fourth Proportional to 852.82, 1,278.77 and 297.27

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Solution

The fourth proportional to 852.82, 1,278.77 and 297.27 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.82 : 1,278.77 = 297.27 : x
  2. Step 2: Convert to fraction form
    852.82/1,278.77 = 297.27/x
  3. Step 3: Cross multiply
    852.82x = 1,278.77 × 297.27
  4. Step 4: Simplify right side
    852.82x = 380,138.47
  5. Step 5: Solve for x
    x = 380,138.47/852.82
  6. Step 6: Final answer
    x = 445.74

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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.