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Finding the Fourth Proportional to 653.38, 979.46 and 324.12

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Solution

The fourth proportional to 653.38, 979.46 and 324.12 is: 485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 979.46 = 324.12 : x
  2. Step 2: Convert to fraction form
    653.38/979.46 = 324.12/x
  3. Step 3: Cross multiply
    653.38x = 979.46 × 324.12
  4. Step 4: Simplify right side
    653.38x = 317,460.33
  5. Step 5: Solve for x
    x = 317,460.33/653.38
  6. Step 6: Final answer
    x = 485.87

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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.