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Finding the Fourth Proportional to 822.34, 1,233.51 and 335.38

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Solution

The fourth proportional to 822.34, 1,233.51 and 335.38 is: 503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,233.51 = 335.38 : x
  2. Step 2: Convert to fraction form
    822.34/1,233.51 = 335.38/x
  3. Step 3: Cross multiply
    822.34x = 1,233.51 × 335.38
  4. Step 4: Simplify right side
    822.34x = 413,694.58
  5. Step 5: Solve for x
    x = 413,694.58/822.34
  6. Step 6: Final answer
    x = 503.07

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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.