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Finding the Fourth Proportional to 713.07, 984.03 and 418.37

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Solution

The fourth proportional to 713.07, 984.03 and 418.37 is: 577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 984.03 = 418.37 : x
  2. Step 2: Convert to fraction form
    713.07/984.03 = 418.37/x
  3. Step 3: Cross multiply
    713.07x = 984.03 × 418.37
  4. Step 4: Simplify right side
    713.07x = 411,683.71
  5. Step 5: Solve for x
    x = 411,683.71/713.07
  6. Step 6: Final answer
    x = 577.34

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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.