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Finding the Fourth Proportional to 537.24, 740.94 and 329.88

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Solution

The fourth proportional to 537.24, 740.94 and 329.88 is: 454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 740.94 = 329.88 : x
  2. Step 2: Convert to fraction form
    537.24/740.94 = 329.88/x
  3. Step 3: Cross multiply
    537.24x = 740.94 × 329.88
  4. Step 4: Simplify right side
    537.24x = 244,421.29
  5. Step 5: Solve for x
    x = 244,421.29/537.24
  6. Step 6: Final answer
    x = 454.96

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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.