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Finding the Fourth Proportional to 609.93, 913.54 and 284.31

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Solution

The fourth proportional to 609.93, 913.54 and 284.31 is: 425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.93 : 913.54 = 284.31 : x
  2. Step 2: Convert to fraction form
    609.93/913.54 = 284.31/x
  3. Step 3: Cross multiply
    609.93x = 913.54 × 284.31
  4. Step 4: Simplify right side
    609.93x = 259,727.85
  5. Step 5: Solve for x
    x = 259,727.85/609.93
  6. Step 6: Final answer
    x = 425.83

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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.