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Finding the Fourth Proportional to 712.09, 982.29 and 432.43

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Solution

The fourth proportional to 712.09, 982.29 and 432.43 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.09 : 982.29 = 432.43 : x
  2. Step 2: Convert to fraction form
    712.09/982.29 = 432.43/x
  3. Step 3: Cross multiply
    712.09x = 982.29 × 432.43
  4. Step 4: Simplify right side
    712.09x = 424,769.21
  5. Step 5: Solve for x
    x = 424,769.21/712.09
  6. Step 6: Final answer
    x = 596.51

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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.