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Finding the Fourth Proportional to 852.38, 1,278.32 and 304.47

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Solution

The fourth proportional to 852.38, 1,278.32 and 304.47 is: 456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.38 : 1,278.32 = 304.47 : x
  2. Step 2: Convert to fraction form
    852.38/1,278.32 = 304.47/x
  3. Step 3: Cross multiply
    852.38x = 1,278.32 × 304.47
  4. Step 4: Simplify right side
    852.38x = 389,208.57
  5. Step 5: Solve for x
    x = 389,208.57/852.38
  6. Step 6: Final answer
    x = 456.62

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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.