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Finding the Fourth Proportional to 852.78, 1,278.13 and 364.80

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Solution

The fourth proportional to 852.78, 1,278.13 and 364.80 is: 546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.78 : 1,278.13 = 364.80 : x
  2. Step 2: Convert to fraction form
    852.78/1,278.13 = 364.80/x
  3. Step 3: Cross multiply
    852.78x = 1,278.13 × 364.80
  4. Step 4: Simplify right side
    852.78x = 466,261.82
  5. Step 5: Solve for x
    x = 466,261.82/852.78
  6. Step 6: Final answer
    x = 546.76

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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.