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Finding the Fourth Proportional to 515.95, 773.63 and 255.38

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Solution

The fourth proportional to 515.95, 773.63 and 255.38 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.95 : 773.63 = 255.38 : x
  2. Step 2: Convert to fraction form
    515.95/773.63 = 255.38/x
  3. Step 3: Cross multiply
    515.95x = 773.63 × 255.38
  4. Step 4: Simplify right side
    515.95x = 197,569.63
  5. Step 5: Solve for x
    x = 197,569.63/515.95
  6. Step 6: Final answer
    x = 382.92

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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.