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Finding the Fourth Proportional to 382.05, 570.53 and 375.57

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Solution

The fourth proportional to 382.05, 570.53 and 375.57 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 570.53 = 375.57 : x
  2. Step 2: Convert to fraction form
    382.05/570.53 = 375.57/x
  3. Step 3: Cross multiply
    382.05x = 570.53 × 375.57
  4. Step 4: Simplify right side
    382.05x = 214,274.89
  5. Step 5: Solve for x
    x = 214,274.89/382.05
  6. Step 6: Final answer
    x = 560.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.