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Finding the Fourth Proportional to 510.75, 704.81 and 289.68

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Solution

The fourth proportional to 510.75, 704.81 and 289.68 is: 399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 704.81 = 289.68 : x
  2. Step 2: Convert to fraction form
    510.75/704.81 = 289.68/x
  3. Step 3: Cross multiply
    510.75x = 704.81 × 289.68
  4. Step 4: Simplify right side
    510.75x = 204,167.91
  5. Step 5: Solve for x
    x = 204,167.91/510.75
  6. Step 6: Final answer
    x = 399.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.