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Finding the Fourth Proportional to 578.54, 867.85 and 282.33

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Solution

The fourth proportional to 578.54, 867.85 and 282.33 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.54 : 867.85 = 282.33 : x
  2. Step 2: Convert to fraction form
    578.54/867.85 = 282.33/x
  3. Step 3: Cross multiply
    578.54x = 867.85 × 282.33
  4. Step 4: Simplify right side
    578.54x = 245,019.38
  5. Step 5: Solve for x
    x = 245,019.38/578.54
  6. Step 6: Final answer
    x = 423.51

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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.