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Finding the Fourth Proportional to 712, 982.83 and 432.24

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Solution

The fourth proportional to 712, 982.83 and 432.24 is: 596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 982.83 = 432.24 : x
  2. Step 2: Convert to fraction form
    712/982.83 = 432.24/x
  3. Step 3: Cross multiply
    712x = 982.83 × 432.24
  4. Step 4: Simplify right side
    712x = 424,818.44
  5. Step 5: Solve for x
    x = 424,818.44/712
  6. Step 6: Final answer
    x = 596.66

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