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Finding the Fourth Proportional to 376.83, 565.25 and 214.64

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Solution

The fourth proportional to 376.83, 565.25 and 214.64 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.83 : 565.25 = 214.64 : x
  2. Step 2: Convert to fraction form
    376.83/565.25 = 214.64/x
  3. Step 3: Cross multiply
    376.83x = 565.25 × 214.64
  4. Step 4: Simplify right side
    376.83x = 121,321.36
  5. Step 5: Solve for x
    x = 121,321.36/376.83
  6. Step 6: Final answer
    x = 321.95

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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.