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Finding the Fourth Proportional to 515.54, 773.57 and 272.24

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Solution

The fourth proportional to 515.54, 773.57 and 272.24 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.54 : 773.57 = 272.24 : x
  2. Step 2: Convert to fraction form
    515.54/773.57 = 272.24/x
  3. Step 3: Cross multiply
    515.54x = 773.57 × 272.24
  4. Step 4: Simplify right side
    515.54x = 210,595.34
  5. Step 5: Solve for x
    x = 210,595.34/515.54
  6. Step 6: Final answer
    x = 408.49

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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.