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Finding the Fourth Proportional to 805.94, 1,208.93 and 228.82

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Solution

The fourth proportional to 805.94, 1,208.93 and 228.82 is: 343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.94 : 1,208.93 = 228.82 : x
  2. Step 2: Convert to fraction form
    805.94/1,208.93 = 228.82/x
  3. Step 3: Cross multiply
    805.94x = 1,208.93 × 228.82
  4. Step 4: Simplify right side
    805.94x = 276,623.20
  5. Step 5: Solve for x
    x = 276,623.20/805.94
  6. Step 6: Final answer
    x = 343.23

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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.