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Finding the Fourth Proportional to 540.87, 746.17 and 330.94

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Solution

The fourth proportional to 540.87, 746.17 and 330.94 is: 456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.87 : 746.17 = 330.94 : x
  2. Step 2: Convert to fraction form
    540.87/746.17 = 330.94/x
  3. Step 3: Cross multiply
    540.87x = 746.17 × 330.94
  4. Step 4: Simplify right side
    540.87x = 246,937.50
  5. Step 5: Solve for x
    x = 246,937.50/540.87
  6. Step 6: Final answer
    x = 456.56

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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.