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Finding the Fourth Proportional to 517.73, 776.60 and 414.53

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Solution

The fourth proportional to 517.73, 776.60 and 414.53 is: 621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.73 : 776.60 = 414.53 : x
  2. Step 2: Convert to fraction form
    517.73/776.60 = 414.53/x
  3. Step 3: Cross multiply
    517.73x = 776.60 × 414.53
  4. Step 4: Simplify right side
    517.73x = 321,918.04
  5. Step 5: Solve for x
    x = 321,918.04/517.73
  6. Step 6: Final answer
    x = 621.79

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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.