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Finding the Fourth Proportional to 510.33, 704.82 and 344.25

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Solution

The fourth proportional to 510.33, 704.82 and 344.25 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.33 : 704.82 = 344.25 : x
  2. Step 2: Convert to fraction form
    510.33/704.82 = 344.25/x
  3. Step 3: Cross multiply
    510.33x = 704.82 × 344.25
  4. Step 4: Simplify right side
    510.33x = 242,635.09
  5. Step 5: Solve for x
    x = 242,635.09/510.33
  6. Step 6: Final answer
    x = 475.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.