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Finding the Fourth Proportional to 378.50, 564.96 and 326.55

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Solution

The fourth proportional to 378.50, 564.96 and 326.55 is: 487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 564.96 = 326.55 : x
  2. Step 2: Convert to fraction form
    378.50/564.96 = 326.55/x
  3. Step 3: Cross multiply
    378.50x = 564.96 × 326.55
  4. Step 4: Simplify right side
    378.50x = 184,487.69
  5. Step 5: Solve for x
    x = 184,487.69/378.50
  6. Step 6: Final answer
    x = 487.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.