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Finding the Fourth Proportional to 376.84, 564.65 and 214.64

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Solution

The fourth proportional to 376.84, 564.65 and 214.64 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.84 : 564.65 = 214.64 : x
  2. Step 2: Convert to fraction form
    376.84/564.65 = 214.64/x
  3. Step 3: Cross multiply
    376.84x = 564.65 × 214.64
  4. Step 4: Simplify right side
    376.84x = 121,196.48
  5. Step 5: Solve for x
    x = 121,196.48/376.84
  6. Step 6: Final answer
    x = 321.61

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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.