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Finding the Fourth Proportional to 537.44, 741.35 and 337.96

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Solution

The fourth proportional to 537.44, 741.35 and 337.96 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.44 : 741.35 = 337.96 : x
  2. Step 2: Convert to fraction form
    537.44/741.35 = 337.96/x
  3. Step 3: Cross multiply
    537.44x = 741.35 × 337.96
  4. Step 4: Simplify right side
    537.44x = 250,545.48
  5. Step 5: Solve for x
    x = 250,545.48/537.44
  6. Step 6: Final answer
    x = 466.18

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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.