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Finding the Fourth Proportional to 252.40, 380 and 209.44

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Solution

The fourth proportional to 252.40, 380 and 209.44 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.40 : 380 = 209.44 : x
  2. Step 2: Convert to fraction form
    252.40/380 = 209.44/x
  3. Step 3: Cross multiply
    252.40x = 380 × 209.44
  4. Step 4: Simplify right side
    252.40x = 79,587.20
  5. Step 5: Solve for x
    x = 79,587.20/252.40
  6. Step 6: Final answer
    x = 315.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.