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Finding the Fourth Proportional to 515.45, 773.27 and 271.74

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Solution

The fourth proportional to 515.45, 773.27 and 271.74 is: 407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.45 : 773.27 = 271.74 : x
  2. Step 2: Convert to fraction form
    515.45/773.27 = 271.74/x
  3. Step 3: Cross multiply
    515.45x = 773.27 × 271.74
  4. Step 4: Simplify right side
    515.45x = 210,127.03
  5. Step 5: Solve for x
    x = 210,127.03/515.45
  6. Step 6: Final answer
    x = 407.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.