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Finding the Fourth Proportional to 375.20, 514.24 and 370.88

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Solution

The fourth proportional to 375.20, 514.24 and 370.88 is: 508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 514.24 = 370.88 : x
  2. Step 2: Convert to fraction form
    375.20/514.24 = 370.88/x
  3. Step 3: Cross multiply
    375.20x = 514.24 × 370.88
  4. Step 4: Simplify right side
    375.20x = 190,721.33
  5. Step 5: Solve for x
    x = 190,721.33/375.20
  6. Step 6: Final answer
    x = 508.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.