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Finding the Fourth Proportional to 852.35, 1,278.54 and 304.57

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Solution

The fourth proportional to 852.35, 1,278.54 and 304.57 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.35 : 1,278.54 = 304.57 : x
  2. Step 2: Convert to fraction form
    852.35/1,278.54 = 304.57/x
  3. Step 3: Cross multiply
    852.35x = 1,278.54 × 304.57
  4. Step 4: Simplify right side
    852.35x = 389,401.73
  5. Step 5: Solve for x
    x = 389,401.73/852.35
  6. Step 6: Final answer
    x = 456.86

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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.