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Finding the Fourth Proportional to 713.42, 984.59 and 418.68

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Solution

The fourth proportional to 713.42, 984.59 and 418.68 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 984.59 = 418.68 : x
  2. Step 2: Convert to fraction form
    713.42/984.59 = 418.68/x
  3. Step 3: Cross multiply
    713.42x = 984.59 × 418.68
  4. Step 4: Simplify right side
    713.42x = 412,227.62
  5. Step 5: Solve for x
    x = 412,227.62/713.42
  6. Step 6: Final answer
    x = 577.82

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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.