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Finding the Fourth Proportional to 541.30, 746.92 and 305.20

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Solution

The fourth proportional to 541.30, 746.92 and 305.20 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.30 : 746.92 = 305.20 : x
  2. Step 2: Convert to fraction form
    541.30/746.92 = 305.20/x
  3. Step 3: Cross multiply
    541.30x = 746.92 × 305.20
  4. Step 4: Simplify right side
    541.30x = 227,959.98
  5. Step 5: Solve for x
    x = 227,959.98/541.30
  6. Step 6: Final answer
    x = 421.13

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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.