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Finding the Fourth Proportional to 882.45, 1,324.02 and 362.70

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Solution

The fourth proportional to 882.45, 1,324.02 and 362.70 is: 544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.45 : 1,324.02 = 362.70 : x
  2. Step 2: Convert to fraction form
    882.45/1,324.02 = 362.70/x
  3. Step 3: Cross multiply
    882.45x = 1,324.02 × 362.70
  4. Step 4: Simplify right side
    882.45x = 480,222.05
  5. Step 5: Solve for x
    x = 480,222.05/882.45
  6. Step 6: Final answer
    x = 544.19

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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.