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Finding the Fourth Proportional to 510.15, 704.14 and 289.23

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Solution

The fourth proportional to 510.15, 704.14 and 289.23 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.15 : 704.14 = 289.23 : x
  2. Step 2: Convert to fraction form
    510.15/704.14 = 289.23/x
  3. Step 3: Cross multiply
    510.15x = 704.14 × 289.23
  4. Step 4: Simplify right side
    510.15x = 203,658.73
  5. Step 5: Solve for x
    x = 203,658.73/510.15
  6. Step 6: Final answer
    x = 399.21

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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.