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Finding the Fourth Proportional to 510.72, 765.72 and 414.96

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Solution

The fourth proportional to 510.72, 765.72 and 414.96 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 765.72 = 414.96 : x
  2. Step 2: Convert to fraction form
    510.72/765.72 = 414.96/x
  3. Step 3: Cross multiply
    510.72x = 765.72 × 414.96
  4. Step 4: Simplify right side
    510.72x = 317,743.17
  5. Step 5: Solve for x
    x = 317,743.17/510.72
  6. Step 6: Final answer
    x = 622.15

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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.