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Finding the Fourth Proportional to 851.46, 1,277.20 and 266.46

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Solution

The fourth proportional to 851.46, 1,277.20 and 266.46 is: 399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.46 : 1,277.20 = 266.46 : x
  2. Step 2: Convert to fraction form
    851.46/1,277.20 = 266.46/x
  3. Step 3: Cross multiply
    851.46x = 1,277.20 × 266.46
  4. Step 4: Simplify right side
    851.46x = 340,322.71
  5. Step 5: Solve for x
    x = 340,322.71/851.46
  6. Step 6: Final answer
    x = 399.69

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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.