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Finding the Fourth Proportional to 798.55, 1,198.29 and 336.28

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Solution

The fourth proportional to 798.55, 1,198.29 and 336.28 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.55 : 1,198.29 = 336.28 : x
  2. Step 2: Convert to fraction form
    798.55/1,198.29 = 336.28/x
  3. Step 3: Cross multiply
    798.55x = 1,198.29 × 336.28
  4. Step 4: Simplify right side
    798.55x = 402,960.96
  5. Step 5: Solve for x
    x = 402,960.96/798.55
  6. Step 6: Final answer
    x = 504.62

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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.