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Finding the Fourth Proportional to 864.27, 1,295.68 and 343.95

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Solution

The fourth proportional to 864.27, 1,295.68 and 343.95 is: 515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.27 : 1,295.68 = 343.95 : x
  2. Step 2: Convert to fraction form
    864.27/1,295.68 = 343.95/x
  3. Step 3: Cross multiply
    864.27x = 1,295.68 × 343.95
  4. Step 4: Simplify right side
    864.27x = 445,649.14
  5. Step 5: Solve for x
    x = 445,649.14/864.27
  6. Step 6: Final answer
    x = 515.64

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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.