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Finding the Fourth Proportional to 510.43, 704.31 and 289.35

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Solution

The fourth proportional to 510.43, 704.31 and 289.35 is: 399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.43 : 704.31 = 289.35 : x
  2. Step 2: Convert to fraction form
    510.43/704.31 = 289.35/x
  3. Step 3: Cross multiply
    510.43x = 704.31 × 289.35
  4. Step 4: Simplify right side
    510.43x = 203,792.10
  5. Step 5: Solve for x
    x = 203,792.10/510.43
  6. Step 6: Final answer
    x = 399.26

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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.