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Finding the Fourth Proportional to 713.19, 984.17 and 418.62

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Solution

The fourth proportional to 713.19, 984.17 and 418.62 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.19 : 984.17 = 418.62 : x
  2. Step 2: Convert to fraction form
    713.19/984.17 = 418.62/x
  3. Step 3: Cross multiply
    713.19x = 984.17 × 418.62
  4. Step 4: Simplify right side
    713.19x = 411,991.15
  5. Step 5: Solve for x
    x = 411,991.15/713.19
  6. Step 6: Final answer
    x = 577.67

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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.