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Finding the Fourth Proportional to 376.52, 564.81 and 214.05

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Solution

The fourth proportional to 376.52, 564.81 and 214.05 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.52 : 564.81 = 214.05 : x
  2. Step 2: Convert to fraction form
    376.52/564.81 = 214.05/x
  3. Step 3: Cross multiply
    376.52x = 564.81 × 214.05
  4. Step 4: Simplify right side
    376.52x = 120,894.76
  5. Step 5: Solve for x
    x = 120,894.76/376.52
  6. Step 6: Final answer
    x = 321.09

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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.