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Finding the Fourth Proportional to 823.52, 1,234.16 and 310.24

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Solution

The fourth proportional to 823.52, 1,234.16 and 310.24 is: 464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,234.16 = 310.24 : x
  2. Step 2: Convert to fraction form
    823.52/1,234.16 = 310.24/x
  3. Step 3: Cross multiply
    823.52x = 1,234.16 × 310.24
  4. Step 4: Simplify right side
    823.52x = 382,885.80
  5. Step 5: Solve for x
    x = 382,885.80/823.52
  6. Step 6: Final answer
    x = 464.94

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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.