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Finding the Fourth Proportional to 864.06, 1,295.37 and 343.84

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Solution

The fourth proportional to 864.06, 1,295.37 and 343.84 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.06 : 1,295.37 = 343.84 : x
  2. Step 2: Convert to fraction form
    864.06/1,295.37 = 343.84/x
  3. Step 3: Cross multiply
    864.06x = 1,295.37 × 343.84
  4. Step 4: Simplify right side
    864.06x = 445,393.54
  5. Step 5: Solve for x
    x = 445,393.54/864.06
  6. Step 6: Final answer
    x = 515.47

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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.