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Finding the Fourth Proportional to 852.30, 1,278.65 and 304.54

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Solution

The fourth proportional to 852.30, 1,278.65 and 304.54 is: 456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.30 : 1,278.65 = 304.54 : x
  2. Step 2: Convert to fraction form
    852.30/1,278.65 = 304.54/x
  3. Step 3: Cross multiply
    852.30x = 1,278.65 × 304.54
  4. Step 4: Simplify right side
    852.30x = 389,400.07
  5. Step 5: Solve for x
    x = 389,400.07/852.30
  6. Step 6: Final answer
    x = 456.88

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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.