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Finding the Fourth Proportional to 540.80, 746.33 and 304.74

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Solution

The fourth proportional to 540.80, 746.33 and 304.74 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 746.33 = 304.74 : x
  2. Step 2: Convert to fraction form
    540.80/746.33 = 304.74/x
  3. Step 3: Cross multiply
    540.80x = 746.33 × 304.74
  4. Step 4: Simplify right side
    540.80x = 227,436.44
  5. Step 5: Solve for x
    x = 227,436.44/540.80
  6. Step 6: Final answer
    x = 420.56

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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.