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Finding the Fourth Proportional to 578.68, 798.66 and 382.25

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Solution

The fourth proportional to 578.68, 798.66 and 382.25 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 798.66 = 382.25 : x
  2. Step 2: Convert to fraction form
    578.68/798.66 = 382.25/x
  3. Step 3: Cross multiply
    578.68x = 798.66 × 382.25
  4. Step 4: Simplify right side
    578.68x = 305,289.78
  5. Step 5: Solve for x
    x = 305,289.78/578.68
  6. Step 6: Final answer
    x = 527.56

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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.