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Finding the Fourth Proportional to 510.72, 766.20 and 250.37

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Solution

The fourth proportional to 510.72, 766.20 and 250.37 is: 375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 766.20 = 250.37 : x
  2. Step 2: Convert to fraction form
    510.72/766.20 = 250.37/x
  3. Step 3: Cross multiply
    510.72x = 766.20 × 250.37
  4. Step 4: Simplify right side
    510.72x = 191,829.66
  5. Step 5: Solve for x
    x = 191,829.66/510.72
  6. Step 6: Final answer
    x = 375.61

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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.