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Finding the Fourth Proportional to 382.77, 573.09 and 305.85

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Solution

The fourth proportional to 382.77, 573.09 and 305.85 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 573.09 = 305.85 : x
  2. Step 2: Convert to fraction form
    382.77/573.09 = 305.85/x
  3. Step 3: Cross multiply
    382.77x = 573.09 × 305.85
  4. Step 4: Simplify right side
    382.77x = 175,279.58
  5. Step 5: Solve for x
    x = 175,279.58/382.77
  6. Step 6: Final answer
    x = 457.92

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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.