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Finding the Fourth Proportional to 712.94, 983.96 and 418.31

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Solution

The fourth proportional to 712.94, 983.96 and 418.31 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.94 : 983.96 = 418.31 : x
  2. Step 2: Convert to fraction form
    712.94/983.96 = 418.31/x
  3. Step 3: Cross multiply
    712.94x = 983.96 × 418.31
  4. Step 4: Simplify right side
    712.94x = 411,593.30
  5. Step 5: Solve for x
    x = 411,593.30/712.94
  6. Step 6: Final answer
    x = 577.32

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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.