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Finding the Fourth Proportional to 510.40, 765.28 and 221.92

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Solution

The fourth proportional to 510.40, 765.28 and 221.92 is: 332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 765.28 = 221.92 : x
  2. Step 2: Convert to fraction form
    510.40/765.28 = 221.92/x
  3. Step 3: Cross multiply
    510.40x = 765.28 × 221.92
  4. Step 4: Simplify right side
    510.40x = 169,830.94
  5. Step 5: Solve for x
    x = 169,830.94/510.40
  6. Step 6: Final answer
    x = 332.74

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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.