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Finding the Fourth Proportional to 382.76, 573.84 and 209.34

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Solution

The fourth proportional to 382.76, 573.84 and 209.34 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 573.84 = 209.34 : x
  2. Step 2: Convert to fraction form
    382.76/573.84 = 209.34/x
  3. Step 3: Cross multiply
    382.76x = 573.84 × 209.34
  4. Step 4: Simplify right side
    382.76x = 120,127.67
  5. Step 5: Solve for x
    x = 120,127.67/382.76
  6. Step 6: Final answer
    x = 313.85

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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.