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Finding the Fourth Proportional to 537.80, 742.16 and 304.96

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Solution

The fourth proportional to 537.80, 742.16 and 304.96 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 742.16 = 304.96 : x
  2. Step 2: Convert to fraction form
    537.80/742.16 = 304.96/x
  3. Step 3: Cross multiply
    537.80x = 742.16 × 304.96
  4. Step 4: Simplify right side
    537.80x = 226,329.11
  5. Step 5: Solve for x
    x = 226,329.11/537.80
  6. Step 6: Final answer
    x = 420.84

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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.