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Finding the Fourth Proportional to 652.97, 979.33 and 306.22

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Solution

The fourth proportional to 652.97, 979.33 and 306.22 is: 459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 979.33 = 306.22 : x
  2. Step 2: Convert to fraction form
    652.97/979.33 = 306.22/x
  3. Step 3: Cross multiply
    652.97x = 979.33 × 306.22
  4. Step 4: Simplify right side
    652.97x = 299,884.00
  5. Step 5: Solve for x
    x = 299,884.00/652.97
  6. Step 6: Final answer
    x = 459.26

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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.