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Finding the Fourth Proportional to 864.82, 1,297.33 and 344.80

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Solution

The fourth proportional to 864.82, 1,297.33 and 344.80 is: 517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.82 : 1,297.33 = 344.80 : x
  2. Step 2: Convert to fraction form
    864.82/1,297.33 = 344.80/x
  3. Step 3: Cross multiply
    864.82x = 1,297.33 × 344.80
  4. Step 4: Simplify right side
    864.82x = 447,315.28
  5. Step 5: Solve for x
    x = 447,315.28/864.82
  6. Step 6: Final answer
    x = 517.24

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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.