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Finding the Fourth Proportional to 649.67, 974.34 and 259.65

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Solution

The fourth proportional to 649.67, 974.34 and 259.65 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.67 : 974.34 = 259.65 : x
  2. Step 2: Convert to fraction form
    649.67/974.34 = 259.65/x
  3. Step 3: Cross multiply
    649.67x = 974.34 × 259.65
  4. Step 4: Simplify right side
    649.67x = 252,987.38
  5. Step 5: Solve for x
    x = 252,987.38/649.67
  6. Step 6: Final answer
    x = 389.41

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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.