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Finding the Fourth Proportional to 515.25, 768.87 and 460.62

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Solution

The fourth proportional to 515.25, 768.87 and 460.62 is: 687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.25 : 768.87 = 460.62 : x
  2. Step 2: Convert to fraction form
    515.25/768.87 = 460.62/x
  3. Step 3: Cross multiply
    515.25x = 768.87 × 460.62
  4. Step 4: Simplify right side
    515.25x = 354,156.90
  5. Step 5: Solve for x
    x = 354,156.90/515.25
  6. Step 6: Final answer
    x = 687.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.