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Finding the Fourth Proportional to 515.34, 773.14 and 271.80

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Solution

The fourth proportional to 515.34, 773.14 and 271.80 is: 407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 773.14 = 271.80 : x
  2. Step 2: Convert to fraction form
    515.34/773.14 = 271.80/x
  3. Step 3: Cross multiply
    515.34x = 773.14 × 271.80
  4. Step 4: Simplify right side
    515.34x = 210,139.45
  5. Step 5: Solve for x
    x = 210,139.45/515.34
  6. Step 6: Final answer
    x = 407.77

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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.