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Finding the Fourth Proportional to 541.27, 746.87 and 305.18

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Solution

The fourth proportional to 541.27, 746.87 and 305.18 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.27 : 746.87 = 305.18 : x
  2. Step 2: Convert to fraction form
    541.27/746.87 = 305.18/x
  3. Step 3: Cross multiply
    541.27x = 746.87 × 305.18
  4. Step 4: Simplify right side
    541.27x = 227,929.79
  5. Step 5: Solve for x
    x = 227,929.79/541.27
  6. Step 6: Final answer
    x = 421.10

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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.