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Finding the Fourth Proportional to 510.30, 765.18 and 327.51

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Solution

The fourth proportional to 510.30, 765.18 and 327.51 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 765.18 = 327.51 : x
  2. Step 2: Convert to fraction form
    510.30/765.18 = 327.51/x
  3. Step 3: Cross multiply
    510.30x = 765.18 × 327.51
  4. Step 4: Simplify right side
    510.30x = 250,604.10
  5. Step 5: Solve for x
    x = 250,604.10/510.30
  6. Step 6: Final answer
    x = 491.09

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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.