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Finding the Fourth Proportional to 510.82, 704.86 and 301.18

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Solution

The fourth proportional to 510.82, 704.86 and 301.18 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 704.86 = 301.18 : x
  2. Step 2: Convert to fraction form
    510.82/704.86 = 301.18/x
  3. Step 3: Cross multiply
    510.82x = 704.86 × 301.18
  4. Step 4: Simplify right side
    510.82x = 212,289.73
  5. Step 5: Solve for x
    x = 212,289.73/510.82
  6. Step 6: Final answer
    x = 415.59

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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.