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Finding the Fourth Proportional to 537.75, 742.16 and 330.75

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Solution

The fourth proportional to 537.75, 742.16 and 330.75 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 742.16 = 330.75 : x
  2. Step 2: Convert to fraction form
    537.75/742.16 = 330.75/x
  3. Step 3: Cross multiply
    537.75x = 742.16 × 330.75
  4. Step 4: Simplify right side
    537.75x = 245,467.77
  5. Step 5: Solve for x
    x = 245,467.77/537.75
  6. Step 6: Final answer
    x = 456.47

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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.