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Finding the Fourth Proportional to 510.29, 765.59 and 217.64

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Solution

The fourth proportional to 510.29, 765.59 and 217.64 is: 326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.29 : 765.59 = 217.64 : x
  2. Step 2: Convert to fraction form
    510.29/765.59 = 217.64/x
  3. Step 3: Cross multiply
    510.29x = 765.59 × 217.64
  4. Step 4: Simplify right side
    510.29x = 166,623.01
  5. Step 5: Solve for x
    x = 166,623.01/510.29
  6. Step 6: Final answer
    x = 326.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.