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Finding the Fourth Proportional to 382.81, 573.40 and 355.27

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Solution

The fourth proportional to 382.81, 573.40 and 355.27 is: 532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.81 : 573.40 = 355.27 : x
  2. Step 2: Convert to fraction form
    382.81/573.40 = 355.27/x
  3. Step 3: Cross multiply
    382.81x = 573.40 × 355.27
  4. Step 4: Simplify right side
    382.81x = 203,709.50
  5. Step 5: Solve for x
    x = 203,709.50/382.81
  6. Step 6: Final answer
    x = 532.15

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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.