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Finding the Fourth Proportional to 823.41, 1,235.60 and 303.78

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Solution

The fourth proportional to 823.41, 1,235.60 and 303.78 is: 455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.41 : 1,235.60 = 303.78 : x
  2. Step 2: Convert to fraction form
    823.41/1,235.60 = 303.78/x
  3. Step 3: Cross multiply
    823.41x = 1,235.60 × 303.78
  4. Step 4: Simplify right side
    823.41x = 375,348.71
  5. Step 5: Solve for x
    x = 375,348.71/823.41
  6. Step 6: Final answer
    x = 455.85

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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.