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Finding the Fourth Proportional to 537.80, 807.04 and 229.65

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Solution

The fourth proportional to 537.80, 807.04 and 229.65 is: 344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 807.04 = 229.65 : x
  2. Step 2: Convert to fraction form
    537.80/807.04 = 229.65/x
  3. Step 3: Cross multiply
    537.80x = 807.04 × 229.65
  4. Step 4: Simplify right side
    537.80x = 185,339.35
  5. Step 5: Solve for x
    x = 185,339.35/537.80
  6. Step 6: Final answer
    x = 344.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.