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Finding the Fourth Proportional to 823.38, 1,235.60 and 310.38

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Solution

The fourth proportional to 823.38, 1,235.60 and 310.38 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,235.60 = 310.38 : x
  2. Step 2: Convert to fraction form
    823.38/1,235.60 = 310.38/x
  3. Step 3: Cross multiply
    823.38x = 1,235.60 × 310.38
  4. Step 4: Simplify right side
    823.38x = 383,505.53
  5. Step 5: Solve for x
    x = 383,505.53/823.38
  6. Step 6: Final answer
    x = 465.77

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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.