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Finding the Fourth Proportional to 709.67, 979.49 and 430.09

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Solution

The fourth proportional to 709.67, 979.49 and 430.09 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 979.49 = 430.09 : x
  2. Step 2: Convert to fraction form
    709.67/979.49 = 430.09/x
  3. Step 3: Cross multiply
    709.67x = 979.49 × 430.09
  4. Step 4: Simplify right side
    709.67x = 421,268.85
  5. Step 5: Solve for x
    x = 421,268.85/709.67
  6. Step 6: Final answer
    x = 593.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.