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Finding the Fourth Proportional to 824.12, 1,236.80 and 304.60

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Solution

The fourth proportional to 824.12, 1,236.80 and 304.60 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.12 : 1,236.80 = 304.60 : x
  2. Step 2: Convert to fraction form
    824.12/1,236.80 = 304.60/x
  3. Step 3: Cross multiply
    824.12x = 1,236.80 × 304.60
  4. Step 4: Simplify right side
    824.12x = 376,729.28
  5. Step 5: Solve for x
    x = 376,729.28/824.12
  6. Step 6: Final answer
    x = 457.13

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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.