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Finding the Fourth Proportional to 824.79, 1,236.42 and 362.28

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Solution

The fourth proportional to 824.79, 1,236.42 and 362.28 is: 543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.79 : 1,236.42 = 362.28 : x
  2. Step 2: Convert to fraction form
    824.79/1,236.42 = 362.28/x
  3. Step 3: Cross multiply
    824.79x = 1,236.42 × 362.28
  4. Step 4: Simplify right side
    824.79x = 447,930.24
  5. Step 5: Solve for x
    x = 447,930.24/824.79
  6. Step 6: Final answer
    x = 543.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.