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Finding the Fourth Proportional to 823.90, 1,236.66 and 304.42

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Solution

The fourth proportional to 823.90, 1,236.66 and 304.42 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.90 : 1,236.66 = 304.42 : x
  2. Step 2: Convert to fraction form
    823.90/1,236.66 = 304.42/x
  3. Step 3: Cross multiply
    823.90x = 1,236.66 × 304.42
  4. Step 4: Simplify right side
    823.90x = 376,464.04
  5. Step 5: Solve for x
    x = 376,464.04/823.90
  6. Step 6: Final answer
    x = 456.93

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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.