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Finding the Fourth Proportional to 578.50, 867.28 and 334.75

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Solution

The fourth proportional to 578.50, 867.28 and 334.75 is: 501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 867.28 = 334.75 : x
  2. Step 2: Convert to fraction form
    578.50/867.28 = 334.75/x
  3. Step 3: Cross multiply
    578.50x = 867.28 × 334.75
  4. Step 4: Simplify right side
    578.50x = 290,321.98
  5. Step 5: Solve for x
    x = 290,321.98/578.50
  6. Step 6: Final answer
    x = 501.85

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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.