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Finding the Fourth Proportional to 376.92, 566.34 and 214.74

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Solution

The fourth proportional to 376.92, 566.34 and 214.74 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.92 : 566.34 = 214.74 : x
  2. Step 2: Convert to fraction form
    376.92/566.34 = 214.74/x
  3. Step 3: Cross multiply
    376.92x = 566.34 × 214.74
  4. Step 4: Simplify right side
    376.92x = 121,615.85
  5. Step 5: Solve for x
    x = 121,615.85/376.92
  6. Step 6: Final answer
    x = 322.66

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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.