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Finding the Fourth Proportional to 510.41, 764.65 and 301.55

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Solution

The fourth proportional to 510.41, 764.65 and 301.55 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 764.65 = 301.55 : x
  2. Step 2: Convert to fraction form
    510.41/764.65 = 301.55/x
  3. Step 3: Cross multiply
    510.41x = 764.65 × 301.55
  4. Step 4: Simplify right side
    510.41x = 230,583.37
  5. Step 5: Solve for x
    x = 230,583.37/510.41
  6. Step 6: Final answer
    x = 451.76

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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.