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Finding the Fourth Proportional to 859.26, 1,288.86 and 243

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Solution

The fourth proportional to 859.26, 1,288.86 and 243 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.26 : 1,288.86 = 243 : x
  2. Step 2: Convert to fraction form
    859.26/1,288.86 = 243/x
  3. Step 3: Cross multiply
    859.26x = 1,288.86 × 243
  4. Step 4: Simplify right side
    859.26x = 313,192.98
  5. Step 5: Solve for x
    x = 313,192.98/859.26
  6. Step 6: Final answer
    x = 364.49

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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.