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Finding the Fourth Proportional to 653.27, 979.83 and 409.05

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Solution

The fourth proportional to 653.27, 979.83 and 409.05 is: 613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.27 : 979.83 = 409.05 : x
  2. Step 2: Convert to fraction form
    653.27/979.83 = 409.05/x
  3. Step 3: Cross multiply
    653.27x = 979.83 × 409.05
  4. Step 4: Simplify right side
    653.27x = 400,799.46
  5. Step 5: Solve for x
    x = 400,799.46/653.27
  6. Step 6: Final answer
    x = 613.53

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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.