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Finding the Fourth Proportional to 653.36, 979.91 and 306.61

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Solution

The fourth proportional to 653.36, 979.91 and 306.61 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 979.91 = 306.61 : x
  2. Step 2: Convert to fraction form
    653.36/979.91 = 306.61/x
  3. Step 3: Cross multiply
    653.36x = 979.91 × 306.61
  4. Step 4: Simplify right side
    653.36x = 300,446.22
  5. Step 5: Solve for x
    x = 300,446.22/653.36
  6. Step 6: Final answer
    x = 459.85

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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.