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Finding the Fourth Proportional to 510.26, 704.16 and 289.16

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Solution

The fourth proportional to 510.26, 704.16 and 289.16 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 704.16 = 289.16 : x
  2. Step 2: Convert to fraction form
    510.26/704.16 = 289.16/x
  3. Step 3: Cross multiply
    510.26x = 704.16 × 289.16
  4. Step 4: Simplify right side
    510.26x = 203,614.91
  5. Step 5: Solve for x
    x = 203,614.91/510.26
  6. Step 6: Final answer
    x = 399.04

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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.