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Finding the Fourth Proportional to 869.57, 1,304.56 and 253.29

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Solution

The fourth proportional to 869.57, 1,304.56 and 253.29 is: 379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.57 : 1,304.56 = 253.29 : x
  2. Step 2: Convert to fraction form
    869.57/1,304.56 = 253.29/x
  3. Step 3: Cross multiply
    869.57x = 1,304.56 × 253.29
  4. Step 4: Simplify right side
    869.57x = 330,432.00
  5. Step 5: Solve for x
    x = 330,432.00/869.57
  6. Step 6: Final answer
    x = 379.99

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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.