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Finding the Fourth Proportional to 608.35, 913.14 and 539.38

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Solution

The fourth proportional to 608.35, 913.14 and 539.38 is: 809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.35 : 913.14 = 539.38 : x
  2. Step 2: Convert to fraction form
    608.35/913.14 = 539.38/x
  3. Step 3: Cross multiply
    608.35x = 913.14 × 539.38
  4. Step 4: Simplify right side
    608.35x = 492,529.45
  5. Step 5: Solve for x
    x = 492,529.45/608.35
  6. Step 6: Final answer
    x = 809.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.