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Finding the Fourth Proportional to 510.67, 704.71 and 277.80

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Solution

The fourth proportional to 510.67, 704.71 and 277.80 is: 383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.67 : 704.71 = 277.80 : x
  2. Step 2: Convert to fraction form
    510.67/704.71 = 277.80/x
  3. Step 3: Cross multiply
    510.67x = 704.71 × 277.80
  4. Step 4: Simplify right side
    510.67x = 195,768.44
  5. Step 5: Solve for x
    x = 195,768.44/510.67
  6. Step 6: Final answer
    x = 383.36

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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.