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Finding the Fourth Proportional to 541.28, 746.96 and 305.26

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Solution

The fourth proportional to 541.28, 746.96 and 305.26 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.28 : 746.96 = 305.26 : x
  2. Step 2: Convert to fraction form
    541.28/746.96 = 305.26/x
  3. Step 3: Cross multiply
    541.28x = 746.96 × 305.26
  4. Step 4: Simplify right side
    541.28x = 228,013.62
  5. Step 5: Solve for x
    x = 228,013.62/541.28
  6. Step 6: Final answer
    x = 421.25

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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.