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Finding the Fourth Proportional to 713.04, 984.00 and 418.31

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Solution

The fourth proportional to 713.04, 984.00 and 418.31 is: 577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.04 : 984.00 = 418.31 : x
  2. Step 2: Convert to fraction form
    713.04/984.00 = 418.31/x
  3. Step 3: Cross multiply
    713.04x = 984.00 × 418.31
  4. Step 4: Simplify right side
    713.04x = 411,620.55
  5. Step 5: Solve for x
    x = 411,620.55/713.04
  6. Step 6: Final answer
    x = 577.28

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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.