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Finding the Fourth Proportional to 382.86, 573.68 and 305.42

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Solution

The fourth proportional to 382.86, 573.68 and 305.42 is: 457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 573.68 = 305.42 : x
  2. Step 2: Convert to fraction form
    382.86/573.68 = 305.42/x
  3. Step 3: Cross multiply
    382.86x = 573.68 × 305.42
  4. Step 4: Simplify right side
    382.86x = 175,211.24
  5. Step 5: Solve for x
    x = 175,211.24/382.86
  6. Step 6: Final answer
    x = 457.64

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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.