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Finding the Fourth Proportional to 376.13, 564.21 and 214.85

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Solution

The fourth proportional to 376.13, 564.21 and 214.85 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 564.21 = 214.85 : x
  2. Step 2: Convert to fraction form
    376.13/564.21 = 214.85/x
  3. Step 3: Cross multiply
    376.13x = 564.21 × 214.85
  4. Step 4: Simplify right side
    376.13x = 121,217.70
  5. Step 5: Solve for x
    x = 121,217.70/376.13
  6. Step 6: Final answer
    x = 322.28

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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.