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Finding the Fourth Proportional to 384.86, 528.52 and 329.60

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Solution

The fourth proportional to 384.86, 528.52 and 329.60 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 528.52 = 329.60 : x
  2. Step 2: Convert to fraction form
    384.86/528.52 = 329.60/x
  3. Step 3: Cross multiply
    384.86x = 528.52 × 329.60
  4. Step 4: Simplify right side
    384.86x = 174,200.19
  5. Step 5: Solve for x
    x = 174,200.19/384.86
  6. Step 6: Final answer
    x = 452.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.