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Finding the Fourth Proportional to 383.61, 528.18 and 327.50

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Solution

The fourth proportional to 383.61, 528.18 and 327.50 is: 450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.61 : 528.18 = 327.50 : x
  2. Step 2: Convert to fraction form
    383.61/528.18 = 327.50/x
  3. Step 3: Cross multiply
    383.61x = 528.18 × 327.50
  4. Step 4: Simplify right side
    383.61x = 172,976.31
  5. Step 5: Solve for x
    x = 172,976.31/383.61
  6. Step 6: Final answer
    x = 450.92

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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.