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Finding the Fourth Proportional to 537.98, 742.42 and 328.16

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Solution

The fourth proportional to 537.98, 742.42 and 328.16 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.98 : 742.42 = 328.16 : x
  2. Step 2: Convert to fraction form
    537.98/742.42 = 328.16/x
  3. Step 3: Cross multiply
    537.98x = 742.42 × 328.16
  4. Step 4: Simplify right side
    537.98x = 243,628.01
  5. Step 5: Solve for x
    x = 243,628.01/537.98
  6. Step 6: Final answer
    x = 452.86

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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.