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Finding the Fourth Proportional to 822.38, 1,233.26 and 302.20

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Solution

The fourth proportional to 822.38, 1,233.26 and 302.20 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.38 : 1,233.26 = 302.20 : x
  2. Step 2: Convert to fraction form
    822.38/1,233.26 = 302.20/x
  3. Step 3: Cross multiply
    822.38x = 1,233.26 × 302.20
  4. Step 4: Simplify right side
    822.38x = 372,691.17
  5. Step 5: Solve for x
    x = 372,691.17/822.38
  6. Step 6: Final answer
    x = 453.19

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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.