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Finding the Fourth Proportional to 537.91, 741.90 and 328.12

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Solution

The fourth proportional to 537.91, 741.90 and 328.12 is: 452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.91 : 741.90 = 328.12 : x
  2. Step 2: Convert to fraction form
    537.91/741.90 = 328.12/x
  3. Step 3: Cross multiply
    537.91x = 741.90 × 328.12
  4. Step 4: Simplify right side
    537.91x = 243,432.23
  5. Step 5: Solve for x
    x = 243,432.23/537.91
  6. Step 6: Final answer
    x = 452.55

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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.