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Finding the Fourth Proportional to 375.70, 562.20 and 254.20

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Solution

The fourth proportional to 375.70, 562.20 and 254.20 is: 380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.70 : 562.20 = 254.20 : x
  2. Step 2: Convert to fraction form
    375.70/562.20 = 254.20/x
  3. Step 3: Cross multiply
    375.70x = 562.20 × 254.20
  4. Step 4: Simplify right side
    375.70x = 142,911.24
  5. Step 5: Solve for x
    x = 142,911.24/375.70
  6. Step 6: Final answer
    x = 380.39

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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.