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Finding the Fourth Proportional to 823, 1,234.68 and 310

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Solution

The fourth proportional to 823, 1,234.68 and 310 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    823 : 1,234.68 = 310 : x
  2. Step 2: Convert to fraction form
    823/1,234.68 = 310/x
  3. Step 3: Cross multiply
    823x = 1,234.68 × 310
  4. Step 4: Simplify right side
    823x = 382,750.80
  5. Step 5: Solve for x
    x = 382,750.80/823
  6. Step 6: Final answer
    x = 465.07

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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.