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Finding the Fourth Proportional to 510.75, 704.84 and 336.42

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Solution

The fourth proportional to 510.75, 704.84 and 336.42 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 704.84 = 336.42 : x
  2. Step 2: Convert to fraction form
    510.75/704.84 = 336.42/x
  3. Step 3: Cross multiply
    510.75x = 704.84 × 336.42
  4. Step 4: Simplify right side
    510.75x = 237,120.59
  5. Step 5: Solve for x
    x = 237,120.59/510.75
  6. Step 6: Final answer
    x = 464.26

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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.