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Finding the Fourth Proportional to 798.26, 1,197.32 and 304.46

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Solution

The fourth proportional to 798.26, 1,197.32 and 304.46 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,197.32 = 304.46 : x
  2. Step 2: Convert to fraction form
    798.26/1,197.32 = 304.46/x
  3. Step 3: Cross multiply
    798.26x = 1,197.32 × 304.46
  4. Step 4: Simplify right side
    798.26x = 364,528.54
  5. Step 5: Solve for x
    x = 364,528.54/798.26
  6. Step 6: Final answer
    x = 456.66

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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.