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Finding the Fourth Proportional to 515.62, 773.16 and 271.54

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Solution

The fourth proportional to 515.62, 773.16 and 271.54 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.62 : 773.16 = 271.54 : x
  2. Step 2: Convert to fraction form
    515.62/773.16 = 271.54/x
  3. Step 3: Cross multiply
    515.62x = 773.16 × 271.54
  4. Step 4: Simplify right side
    515.62x = 209,943.87
  5. Step 5: Solve for x
    x = 209,943.87/515.62
  6. Step 6: Final answer
    x = 407.17

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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.