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Finding the Fourth Proportional to 510.09, 764.55 and 232.39

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Solution

The fourth proportional to 510.09, 764.55 and 232.39 is: 348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 764.55 = 232.39 : x
  2. Step 2: Convert to fraction form
    510.09/764.55 = 232.39/x
  3. Step 3: Cross multiply
    510.09x = 764.55 × 232.39
  4. Step 4: Simplify right side
    510.09x = 177,674.73
  5. Step 5: Solve for x
    x = 177,674.73/510.09
  6. Step 6: Final answer
    x = 348.32

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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.