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Finding the Fourth Proportional to 578.42, 798.24 and 329.76

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Solution

The fourth proportional to 578.42, 798.24 and 329.76 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 798.24 = 329.76 : x
  2. Step 2: Convert to fraction form
    578.42/798.24 = 329.76/x
  3. Step 3: Cross multiply
    578.42x = 798.24 × 329.76
  4. Step 4: Simplify right side
    578.42x = 263,227.62
  5. Step 5: Solve for x
    x = 263,227.62/578.42
  6. Step 6: Final answer
    x = 455.08

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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.