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Finding the Fourth Proportional to 578.21, 798.27 and 382.19

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Solution

The fourth proportional to 578.21, 798.27 and 382.19 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.21 : 798.27 = 382.19 : x
  2. Step 2: Convert to fraction form
    578.21/798.27 = 382.19/x
  3. Step 3: Cross multiply
    578.21x = 798.27 × 382.19
  4. Step 4: Simplify right side
    578.21x = 305,090.81
  5. Step 5: Solve for x
    x = 305,090.81/578.21
  6. Step 6: Final answer
    x = 527.65

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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.