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Finding the Fourth Proportional to 510.39, 704.27 and 289.28

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Solution

The fourth proportional to 510.39, 704.27 and 289.28 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 704.27 = 289.28 : x
  2. Step 2: Convert to fraction form
    510.39/704.27 = 289.28/x
  3. Step 3: Cross multiply
    510.39x = 704.27 × 289.28
  4. Step 4: Simplify right side
    510.39x = 203,726.26
  5. Step 5: Solve for x
    x = 203,726.26/510.39
  6. Step 6: Final answer
    x = 399.16

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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.