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Finding the Fourth Proportional to 653.88, 979.86 and 324.44

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Solution

The fourth proportional to 653.88, 979.86 and 324.44 is: 486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 979.86 = 324.44 : x
  2. Step 2: Convert to fraction form
    653.88/979.86 = 324.44/x
  3. Step 3: Cross multiply
    653.88x = 979.86 × 324.44
  4. Step 4: Simplify right side
    653.88x = 317,905.78
  5. Step 5: Solve for x
    x = 317,905.78/653.88
  6. Step 6: Final answer
    x = 486.18

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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.