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Finding the Fourth Proportional to 535.09, 738.43 and 299.05

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Solution

The fourth proportional to 535.09, 738.43 and 299.05 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.09 : 738.43 = 299.05 : x
  2. Step 2: Convert to fraction form
    535.09/738.43 = 299.05/x
  3. Step 3: Cross multiply
    535.09x = 738.43 × 299.05
  4. Step 4: Simplify right side
    535.09x = 220,825.65
  5. Step 5: Solve for x
    x = 220,825.65/535.09
  6. Step 6: Final answer
    x = 412.69

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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.