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Finding the Fourth Proportional to 537.20, 741.39 and 340.73

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Solution

The fourth proportional to 537.20, 741.39 and 340.73 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.20 : 741.39 = 340.73 : x
  2. Step 2: Convert to fraction form
    537.20/741.39 = 340.73/x
  3. Step 3: Cross multiply
    537.20x = 741.39 × 340.73
  4. Step 4: Simplify right side
    537.20x = 252,613.81
  5. Step 5: Solve for x
    x = 252,613.81/537.20
  6. Step 6: Final answer
    x = 470.24

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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.