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Finding the Fourth Proportional to 653.60, 979.85 and 306.77

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Solution

The fourth proportional to 653.60, 979.85 and 306.77 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 979.85 = 306.77 : x
  2. Step 2: Convert to fraction form
    653.60/979.85 = 306.77/x
  3. Step 3: Cross multiply
    653.60x = 979.85 × 306.77
  4. Step 4: Simplify right side
    653.60x = 300,584.45
  5. Step 5: Solve for x
    x = 300,584.45/653.60
  6. Step 6: Final answer
    x = 459.89

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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.