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Finding the Fourth Proportional to 613.19, 920.34 and 284.31

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Solution

The fourth proportional to 613.19, 920.34 and 284.31 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.19 : 920.34 = 284.31 : x
  2. Step 2: Convert to fraction form
    613.19/920.34 = 284.31/x
  3. Step 3: Cross multiply
    613.19x = 920.34 × 284.31
  4. Step 4: Simplify right side
    613.19x = 261,661.87
  5. Step 5: Solve for x
    x = 261,661.87/613.19
  6. Step 6: Final answer
    x = 426.73

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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.