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Finding the Fourth Proportional to 869.37, 1,304.07 and 292.24

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Solution

The fourth proportional to 869.37, 1,304.07 and 292.24 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.37 : 1,304.07 = 292.24 : x
  2. Step 2: Convert to fraction form
    869.37/1,304.07 = 292.24/x
  3. Step 3: Cross multiply
    869.37x = 1,304.07 × 292.24
  4. Step 4: Simplify right side
    869.37x = 381,101.95
  5. Step 5: Solve for x
    x = 381,101.95/869.37
  6. Step 6: Final answer
    x = 438.37

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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.