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Finding the Fourth Proportional to 510.18, 704.14 and 289.22

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Solution

The fourth proportional to 510.18, 704.14 and 289.22 is: 399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.18 : 704.14 = 289.22 : x
  2. Step 2: Convert to fraction form
    510.18/704.14 = 289.22/x
  3. Step 3: Cross multiply
    510.18x = 704.14 × 289.22
  4. Step 4: Simplify right side
    510.18x = 203,651.37
  5. Step 5: Solve for x
    x = 203,651.37/510.18
  6. Step 6: Final answer
    x = 399.18

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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.