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Finding the Fourth Proportional to 376.88, 563.81 and 326.07

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Solution

The fourth proportional to 376.88, 563.81 and 326.07 is: 487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.88 : 563.81 = 326.07 : x
  2. Step 2: Convert to fraction form
    376.88/563.81 = 326.07/x
  3. Step 3: Cross multiply
    376.88x = 563.81 × 326.07
  4. Step 4: Simplify right side
    376.88x = 183,841.53
  5. Step 5: Solve for x
    x = 183,841.53/376.88
  6. Step 6: Final answer
    x = 487.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.