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Finding the Fourth Proportional to 869.36, 1,303.84 and 252.92

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Solution

The fourth proportional to 869.36, 1,303.84 and 252.92 is: 379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.36 : 1,303.84 = 252.92 : x
  2. Step 2: Convert to fraction form
    869.36/1,303.84 = 252.92/x
  3. Step 3: Cross multiply
    869.36x = 1,303.84 × 252.92
  4. Step 4: Simplify right side
    869.36x = 329,767.21
  5. Step 5: Solve for x
    x = 329,767.21/869.36
  6. Step 6: Final answer
    x = 379.32

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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.