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Finding the Fourth Proportional to 541.33, 746.99 and 305.27

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Solution

The fourth proportional to 541.33, 746.99 and 305.27 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.33 : 746.99 = 305.27 : x
  2. Step 2: Convert to fraction form
    541.33/746.99 = 305.27/x
  3. Step 3: Cross multiply
    541.33x = 746.99 × 305.27
  4. Step 4: Simplify right side
    541.33x = 228,034.04
  5. Step 5: Solve for x
    x = 228,034.04/541.33
  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.