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Finding the Fourth Proportional to 712.26, 982.94 and 432.41

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Solution

The fourth proportional to 712.26, 982.94 and 432.41 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.26 : 982.94 = 432.41 : x
  2. Step 2: Convert to fraction form
    712.26/982.94 = 432.41/x
  3. Step 3: Cross multiply
    712.26x = 982.94 × 432.41
  4. Step 4: Simplify right side
    712.26x = 425,026.01
  5. Step 5: Solve for x
    x = 425,026.01/712.26
  6. Step 6: Final answer
    x = 596.73

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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.