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Finding the Fourth Proportional to 852.70, 1,278.71 and 304.70

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Solution

The fourth proportional to 852.70, 1,278.71 and 304.70 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.70 : 1,278.71 = 304.70 : x
  2. Step 2: Convert to fraction form
    852.70/1,278.71 = 304.70/x
  3. Step 3: Cross multiply
    852.70x = 1,278.71 × 304.70
  4. Step 4: Simplify right side
    852.70x = 389,622.41
  5. Step 5: Solve for x
    x = 389,622.41/852.70
  6. Step 6: Final answer
    x = 456.93

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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.