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Finding the Fourth Proportional to 481.54, 716.83 and 459.17

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Solution

The fourth proportional to 481.54, 716.83 and 459.17 is: 683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.54 : 716.83 = 459.17 : x
  2. Step 2: Convert to fraction form
    481.54/716.83 = 459.17/x
  3. Step 3: Cross multiply
    481.54x = 716.83 × 459.17
  4. Step 4: Simplify right side
    481.54x = 329,146.83
  5. Step 5: Solve for x
    x = 329,146.83/481.54
  6. Step 6: Final answer
    x = 683.53

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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.