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Finding the Fourth Proportional to 541.24, 746.86 and 305.14

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Solution

The fourth proportional to 541.24, 746.86 and 305.14 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 746.86 = 305.14 : x
  2. Step 2: Convert to fraction form
    541.24/746.86 = 305.14/x
  3. Step 3: Cross multiply
    541.24x = 746.86 × 305.14
  4. Step 4: Simplify right side
    541.24x = 227,896.86
  5. Step 5: Solve for x
    x = 227,896.86/541.24
  6. Step 6: Final answer
    x = 421.06

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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.