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Finding the Fourth Proportional to 823.47, 1,235.21 and 336.39

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Solution

The fourth proportional to 823.47, 1,235.21 and 336.39 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.47 : 1,235.21 = 336.39 : x
  2. Step 2: Convert to fraction form
    823.47/1,235.21 = 336.39/x
  3. Step 3: Cross multiply
    823.47x = 1,235.21 × 336.39
  4. Step 4: Simplify right side
    823.47x = 415,510.61
  5. Step 5: Solve for x
    x = 415,510.61/823.47
  6. Step 6: Final answer
    x = 504.59

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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.