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Finding the Fourth Proportional to 540.87, 746.42 and 304.91

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Solution

The fourth proportional to 540.87, 746.42 and 304.91 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.87 : 746.42 = 304.91 : x
  2. Step 2: Convert to fraction form
    540.87/746.42 = 304.91/x
  3. Step 3: Cross multiply
    540.87x = 746.42 × 304.91
  4. Step 4: Simplify right side
    540.87x = 227,589.40
  5. Step 5: Solve for x
    x = 227,589.40/540.87
  6. Step 6: Final answer
    x = 420.79

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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.