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Finding the Fourth Proportional to 712.98, 983.84 and 418.23

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Solution

The fourth proportional to 712.98, 983.84 and 418.23 is: 577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.98 : 983.84 = 418.23 : x
  2. Step 2: Convert to fraction form
    712.98/983.84 = 418.23/x
  3. Step 3: Cross multiply
    712.98x = 983.84 × 418.23
  4. Step 4: Simplify right side
    712.98x = 411,469.31
  5. Step 5: Solve for x
    x = 411,469.31/712.98
  6. Step 6: Final answer
    x = 577.11

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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.