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Finding the Fourth Proportional to 537.63, 741.92 and 304.80

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Solution

The fourth proportional to 537.63, 741.92 and 304.80 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 741.92 = 304.80 : x
  2. Step 2: Convert to fraction form
    537.63/741.92 = 304.80/x
  3. Step 3: Cross multiply
    537.63x = 741.92 × 304.80
  4. Step 4: Simplify right side
    537.63x = 226,137.22
  5. Step 5: Solve for x
    x = 226,137.22/537.63
  6. Step 6: Final answer
    x = 420.62

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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.