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Finding the Fourth Proportional to 510.24, 704.09 and 289.19

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Solution

The fourth proportional to 510.24, 704.09 and 289.19 is: 399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 704.09 = 289.19 : x
  2. Step 2: Convert to fraction form
    510.24/704.09 = 289.19/x
  3. Step 3: Cross multiply
    510.24x = 704.09 × 289.19
  4. Step 4: Simplify right side
    510.24x = 203,612.99
  5. Step 5: Solve for x
    x = 203,612.99/510.24
  6. Step 6: Final answer
    x = 399.05

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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.