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Finding the Fourth Proportional to 713.09, 984.33 and 418.46

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Solution

The fourth proportional to 713.09, 984.33 and 418.46 is: 577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.09 : 984.33 = 418.46 : x
  2. Step 2: Convert to fraction form
    713.09/984.33 = 418.46/x
  3. Step 3: Cross multiply
    713.09x = 984.33 × 418.46
  4. Step 4: Simplify right side
    713.09x = 411,897.81
  5. Step 5: Solve for x
    x = 411,897.81/713.09
  6. Step 6: Final answer
    x = 577.62

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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.