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Finding the Fourth Proportional to 382.42, 573.02 and 301.02

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Solution

The fourth proportional to 382.42, 573.02 and 301.02 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 573.02 = 301.02 : x
  2. Step 2: Convert to fraction form
    382.42/573.02 = 301.02/x
  3. Step 3: Cross multiply
    382.42x = 573.02 × 301.02
  4. Step 4: Simplify right side
    382.42x = 172,490.48
  5. Step 5: Solve for x
    x = 172,490.48/382.42
  6. Step 6: Final answer
    x = 451.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.