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Finding the Fourth Proportional to 361.08, 496.80 and 317.34

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Solution

The fourth proportional to 361.08, 496.80 and 317.34 is: 436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.08 : 496.80 = 317.34 : x
  2. Step 2: Convert to fraction form
    361.08/496.80 = 317.34/x
  3. Step 3: Cross multiply
    361.08x = 496.80 × 317.34
  4. Step 4: Simplify right side
    361.08x = 157,654.51
  5. Step 5: Solve for x
    x = 157,654.51/361.08
  6. Step 6: Final answer
    x = 436.62

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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.