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Finding the Fourth Proportional to 541.05, 746.96 and 434.44

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Solution

The fourth proportional to 541.05, 746.96 and 434.44 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 746.96 = 434.44 : x
  2. Step 2: Convert to fraction form
    541.05/746.96 = 434.44/x
  3. Step 3: Cross multiply
    541.05x = 746.96 × 434.44
  4. Step 4: Simplify right side
    541.05x = 324,509.30
  5. Step 5: Solve for x
    x = 324,509.30/541.05
  6. Step 6: Final answer
    x = 599.78

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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.