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Finding the Fourth Proportional to 905.64, 1,358.82 and 328.56

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Solution

The fourth proportional to 905.64, 1,358.82 and 328.56 is: 492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.64 : 1,358.82 = 328.56 : x
  2. Step 2: Convert to fraction form
    905.64/1,358.82 = 328.56/x
  3. Step 3: Cross multiply
    905.64x = 1,358.82 × 328.56
  4. Step 4: Simplify right side
    905.64x = 446,453.90
  5. Step 5: Solve for x
    x = 446,453.90/905.64
  6. Step 6: Final answer
    x = 492.97

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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.