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Finding the Fourth Proportional to 377.20, 566.34 and 213

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Solution

The fourth proportional to 377.20, 566.34 and 213 is: 319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.20 : 566.34 = 213 : x
  2. Step 2: Convert to fraction form
    377.20/566.34 = 213/x
  3. Step 3: Cross multiply
    377.20x = 566.34 × 213
  4. Step 4: Simplify right side
    377.20x = 120,630.42
  5. Step 5: Solve for x
    x = 120,630.42/377.20
  6. Step 6: Final answer
    x = 319.80

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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.