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Finding the Fourth Proportional to 510.35, 704.27 and 289.30

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Solution

The fourth proportional to 510.35, 704.27 and 289.30 is: 399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.35 : 704.27 = 289.30 : x
  2. Step 2: Convert to fraction form
    510.35/704.27 = 289.30/x
  3. Step 3: Cross multiply
    510.35x = 704.27 × 289.30
  4. Step 4: Simplify right side
    510.35x = 203,744.27
  5. Step 5: Solve for x
    x = 203,744.27/510.35
  6. Step 6: Final answer
    x = 399.23

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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.