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Finding the Fourth Proportional to 852.62, 1,278.14 and 304.70

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Solution

The fourth proportional to 852.62, 1,278.14 and 304.70 is: 456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.62 : 1,278.14 = 304.70 : x
  2. Step 2: Convert to fraction form
    852.62/1,278.14 = 304.70/x
  3. Step 3: Cross multiply
    852.62x = 1,278.14 × 304.70
  4. Step 4: Simplify right side
    852.62x = 389,441.34
  5. Step 5: Solve for x
    x = 389,441.34/852.62
  6. Step 6: Final answer
    x = 456.76

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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.