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Finding the Fourth Proportional to 653.22, 979.63 and 306.34

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Solution

The fourth proportional to 653.22, 979.63 and 306.34 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 979.63 = 306.34 : x
  2. Step 2: Convert to fraction form
    653.22/979.63 = 306.34/x
  3. Step 3: Cross multiply
    653.22x = 979.63 × 306.34
  4. Step 4: Simplify right side
    653.22x = 300,096.64
  5. Step 5: Solve for x
    x = 300,096.64/653.22
  6. Step 6: Final answer
    x = 459.41

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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.