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Finding the Fourth Proportional to 712.02, 982.31 and 432.07

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Solution

The fourth proportional to 712.02, 982.31 and 432.07 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 982.31 = 432.07 : x
  2. Step 2: Convert to fraction form
    712.02/982.31 = 432.07/x
  3. Step 3: Cross multiply
    712.02x = 982.31 × 432.07
  4. Step 4: Simplify right side
    712.02x = 424,426.68
  5. Step 5: Solve for x
    x = 424,426.68/712.02
  6. Step 6: Final answer
    x = 596.09

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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.