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Finding the Fourth Proportional to 712.43, 983.13 and 397.70

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Solution

The fourth proportional to 712.43, 983.13 and 397.70 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.43 : 983.13 = 397.70 : x
  2. Step 2: Convert to fraction form
    712.43/983.13 = 397.70/x
  3. Step 3: Cross multiply
    712.43x = 983.13 × 397.70
  4. Step 4: Simplify right side
    712.43x = 390,985.89
  5. Step 5: Solve for x
    x = 390,985.89/712.43
  6. Step 6: Final answer
    x = 548.81

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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.