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Finding the Fourth Proportional to 824.29, 1,236.76 and 361.74

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Solution

The fourth proportional to 824.29, 1,236.76 and 361.74 is: 542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.29 : 1,236.76 = 361.74 : x
  2. Step 2: Convert to fraction form
    824.29/1,236.76 = 361.74/x
  3. Step 3: Cross multiply
    824.29x = 1,236.76 × 361.74
  4. Step 4: Simplify right side
    824.29x = 447,389.30
  5. Step 5: Solve for x
    x = 447,389.30/824.29
  6. Step 6: Final answer
    x = 542.76

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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.