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Finding the Fourth Proportional to 459.96, 634.04 and 361.54

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Solution

The fourth proportional to 459.96, 634.04 and 361.54 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.96 : 634.04 = 361.54 : x
  2. Step 2: Convert to fraction form
    459.96/634.04 = 361.54/x
  3. Step 3: Cross multiply
    459.96x = 634.04 × 361.54
  4. Step 4: Simplify right side
    459.96x = 229,230.82
  5. Step 5: Solve for x
    x = 229,230.82/459.96
  6. Step 6: Final answer
    x = 498.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.