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Finding the Fourth Proportional to 382.66, 570.22 and 370.27

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Solution

The fourth proportional to 382.66, 570.22 and 370.27 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.66 : 570.22 = 370.27 : x
  2. Step 2: Convert to fraction form
    382.66/570.22 = 370.27/x
  3. Step 3: Cross multiply
    382.66x = 570.22 × 370.27
  4. Step 4: Simplify right side
    382.66x = 211,130.66
  5. Step 5: Solve for x
    x = 211,130.66/382.66
  6. Step 6: Final answer
    x = 551.75

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Why These Related Problems?

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