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Finding the Fourth Proportional to 653.39, 980.09 and 306.47

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Solution

The fourth proportional to 653.39, 980.09 and 306.47 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.39 : 980.09 = 306.47 : x
  2. Step 2: Convert to fraction form
    653.39/980.09 = 306.47/x
  3. Step 3: Cross multiply
    653.39x = 980.09 × 306.47
  4. Step 4: Simplify right side
    653.39x = 300,366.65
  5. Step 5: Solve for x
    x = 300,366.65/653.39
  6. Step 6: Final answer
    x = 459.71

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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.