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Finding the Fourth Proportional to 869.23, 1,304.36 and 349.48

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Solution

The fourth proportional to 869.23, 1,304.36 and 349.48 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,304.36 = 349.48 : x
  2. Step 2: Convert to fraction form
    869.23/1,304.36 = 349.48/x
  3. Step 3: Cross multiply
    869.23x = 1,304.36 × 349.48
  4. Step 4: Simplify right side
    869.23x = 455,847.73
  5. Step 5: Solve for x
    x = 455,847.73/869.23
  6. Step 6: Final answer
    x = 524.43

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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.