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Finding the Fourth Proportional to 510.22, 765.56 and 250.44

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Solution

The fourth proportional to 510.22, 765.56 and 250.44 is: 375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.22 : 765.56 = 250.44 : x
  2. Step 2: Convert to fraction form
    510.22/765.56 = 250.44/x
  3. Step 3: Cross multiply
    510.22x = 765.56 × 250.44
  4. Step 4: Simplify right side
    510.22x = 191,726.85
  5. Step 5: Solve for x
    x = 191,726.85/510.22
  6. Step 6: Final answer
    x = 375.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.