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Finding the Fourth Proportional to 535.05, 738.32 and 299.02

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Solution

The fourth proportional to 535.05, 738.32 and 299.02 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.05 : 738.32 = 299.02 : x
  2. Step 2: Convert to fraction form
    535.05/738.32 = 299.02/x
  3. Step 3: Cross multiply
    535.05x = 738.32 × 299.02
  4. Step 4: Simplify right side
    535.05x = 220,771.35
  5. Step 5: Solve for x
    x = 220,771.35/535.05
  6. Step 6: Final answer
    x = 412.62

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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.