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Finding the Fourth Proportional to 864.19, 1,295.37 and 343.47

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Solution

The fourth proportional to 864.19, 1,295.37 and 343.47 is: 514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.19 : 1,295.37 = 343.47 : x
  2. Step 2: Convert to fraction form
    864.19/1,295.37 = 343.47/x
  3. Step 3: Cross multiply
    864.19x = 1,295.37 × 343.47
  4. Step 4: Simplify right side
    864.19x = 444,920.73
  5. Step 5: Solve for x
    x = 444,920.73/864.19
  6. Step 6: Final answer
    x = 514.84

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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.