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Finding the Fourth Proportional to 535.26, 738.66 and 299.21

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Solution

The fourth proportional to 535.26, 738.66 and 299.21 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 738.66 = 299.21 : x
  2. Step 2: Convert to fraction form
    535.26/738.66 = 299.21/x
  3. Step 3: Cross multiply
    535.26x = 738.66 × 299.21
  4. Step 4: Simplify right side
    535.26x = 221,014.46
  5. Step 5: Solve for x
    x = 221,014.46/535.26
  6. Step 6: Final answer
    x = 412.91

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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.