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Finding the Fourth Proportional to 460.05, 634.14 and 361.64

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Solution

The fourth proportional to 460.05, 634.14 and 361.64 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.05 : 634.14 = 361.64 : x
  2. Step 2: Convert to fraction form
    460.05/634.14 = 361.64/x
  3. Step 3: Cross multiply
    460.05x = 634.14 × 361.64
  4. Step 4: Simplify right side
    460.05x = 229,330.39
  5. Step 5: Solve for x
    x = 229,330.39/460.05
  6. Step 6: Final answer
    x = 498.49

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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.