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Finding the Fourth Proportional to 852.31, 1,278.67 and 296.93

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Solution

The fourth proportional to 852.31, 1,278.67 and 296.93 is: 445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.31 : 1,278.67 = 296.93 : x
  2. Step 2: Convert to fraction form
    852.31/1,278.67 = 296.93/x
  3. Step 3: Cross multiply
    852.31x = 1,278.67 × 296.93
  4. Step 4: Simplify right side
    852.31x = 379,677.94
  5. Step 5: Solve for x
    x = 379,677.94/852.31
  6. Step 6: Final answer
    x = 445.47

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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.