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Finding the Fourth Proportional to 652.60, 979.38 and 409.29

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Solution

The fourth proportional to 652.60, 979.38 and 409.29 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.60 : 979.38 = 409.29 : x
  2. Step 2: Convert to fraction form
    652.60/979.38 = 409.29/x
  3. Step 3: Cross multiply
    652.60x = 979.38 × 409.29
  4. Step 4: Simplify right side
    652.60x = 400,850.44
  5. Step 5: Solve for x
    x = 400,850.44/652.60
  6. Step 6: Final answer
    x = 614.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.