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Finding the Fourth Proportional to 823.36, 1,234.56 and 309.76

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Solution

The fourth proportional to 823.36, 1,234.56 and 309.76 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.36 : 1,234.56 = 309.76 : x
  2. Step 2: Convert to fraction form
    823.36/1,234.56 = 309.76/x
  3. Step 3: Cross multiply
    823.36x = 1,234.56 × 309.76
  4. Step 4: Simplify right side
    823.36x = 382,417.31
  5. Step 5: Solve for x
    x = 382,417.31/823.36
  6. Step 6: Final answer
    x = 464.46

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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.