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Finding the Fourth Proportional to 835.29, 1,252.83 and 219

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Solution

The fourth proportional to 835.29, 1,252.83 and 219 is: 328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.29 : 1,252.83 = 219 : x
  2. Step 2: Convert to fraction form
    835.29/1,252.83 = 219/x
  3. Step 3: Cross multiply
    835.29x = 1,252.83 × 219
  4. Step 4: Simplify right side
    835.29x = 274,369.77
  5. Step 5: Solve for x
    x = 274,369.77/835.29
  6. Step 6: Final answer
    x = 328.47

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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.