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Finding the Fourth Proportional to 510.10, 764.54 and 217.51

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Solution

The fourth proportional to 510.10, 764.54 and 217.51 is: 326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 764.54 = 217.51 : x
  2. Step 2: Convert to fraction form
    510.10/764.54 = 217.51/x
  3. Step 3: Cross multiply
    510.10x = 764.54 × 217.51
  4. Step 4: Simplify right side
    510.10x = 166,293.73
  5. Step 5: Solve for x
    x = 166,293.73/510.10
  6. Step 6: Final answer
    x = 326.01

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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.