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Finding the Fourth Proportional to 713.30, 984.35 and 418.57

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Solution

The fourth proportional to 713.30, 984.35 and 418.57 is: 577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.30 : 984.35 = 418.57 : x
  2. Step 2: Convert to fraction form
    713.30/984.35 = 418.57/x
  3. Step 3: Cross multiply
    713.30x = 984.35 × 418.57
  4. Step 4: Simplify right side
    713.30x = 412,017.97
  5. Step 5: Solve for x
    x = 412,017.97/713.30
  6. Step 6: Final answer
    x = 577.63

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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.