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Finding the Fourth Proportional to 376.78, 564.84 and 214.24

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Solution

The fourth proportional to 376.78, 564.84 and 214.24 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.78 : 564.84 = 214.24 : x
  2. Step 2: Convert to fraction form
    376.78/564.84 = 214.24/x
  3. Step 3: Cross multiply
    376.78x = 564.84 × 214.24
  4. Step 4: Simplify right side
    376.78x = 121,011.32
  5. Step 5: Solve for x
    x = 121,011.32/376.78
  6. Step 6: Final answer
    x = 321.17

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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.