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Finding the Fourth Proportional to 537.54, 741.81 and 496.20

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Solution

The fourth proportional to 537.54, 741.81 and 496.20 is: 684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.54 : 741.81 = 496.20 : x
  2. Step 2: Convert to fraction form
    537.54/741.81 = 496.20/x
  3. Step 3: Cross multiply
    537.54x = 741.81 × 496.20
  4. Step 4: Simplify right side
    537.54x = 368,086.12
  5. Step 5: Solve for x
    x = 368,086.12/537.54
  6. Step 6: Final answer
    x = 684.76

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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.