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Finding the Fourth Proportional to 535.44, 738.80 and 338.96

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Solution

The fourth proportional to 535.44, 738.80 and 338.96 is: 467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.44 : 738.80 = 338.96 : x
  2. Step 2: Convert to fraction form
    535.44/738.80 = 338.96/x
  3. Step 3: Cross multiply
    535.44x = 738.80 × 338.96
  4. Step 4: Simplify right side
    535.44x = 250,423.65
  5. Step 5: Solve for x
    x = 250,423.65/535.44
  6. Step 6: Final answer
    x = 467.70

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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.