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Finding the Fourth Proportional to 510.69, 765.81 and 279.66

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Solution

The fourth proportional to 510.69, 765.81 and 279.66 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 765.81 = 279.66 : x
  2. Step 2: Convert to fraction form
    510.69/765.81 = 279.66/x
  3. Step 3: Cross multiply
    510.69x = 765.81 × 279.66
  4. Step 4: Simplify right side
    510.69x = 214,166.42
  5. Step 5: Solve for x
    x = 214,166.42/510.69
  6. Step 6: Final answer
    x = 419.37

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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.