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Finding the Fourth Proportional to 578.71, 798.96 and 382.69

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Solution

The fourth proportional to 578.71, 798.96 and 382.69 is: 528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 798.96 = 382.69 : x
  2. Step 2: Convert to fraction form
    578.71/798.96 = 382.69/x
  3. Step 3: Cross multiply
    578.71x = 798.96 × 382.69
  4. Step 4: Simplify right side
    578.71x = 305,754.00
  5. Step 5: Solve for x
    x = 305,754.00/578.71
  6. Step 6: Final answer
    x = 528.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.