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Finding the Fourth Proportional to 510.24, 765.29 and 221.64

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Solution

The fourth proportional to 510.24, 765.29 and 221.64 is: 332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 765.29 = 221.64 : x
  2. Step 2: Convert to fraction form
    510.24/765.29 = 221.64/x
  3. Step 3: Cross multiply
    510.24x = 765.29 × 221.64
  4. Step 4: Simplify right side
    510.24x = 169,618.88
  5. Step 5: Solve for x
    x = 169,618.88/510.24
  6. Step 6: Final answer
    x = 332.43

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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.