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Finding the Fourth Proportional to 535.42, 738.89 and 325.63

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Solution

The fourth proportional to 535.42, 738.89 and 325.63 is: 449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.42 : 738.89 = 325.63 : x
  2. Step 2: Convert to fraction form
    535.42/738.89 = 325.63/x
  3. Step 3: Cross multiply
    535.42x = 738.89 × 325.63
  4. Step 4: Simplify right side
    535.42x = 240,604.75
  5. Step 5: Solve for x
    x = 240,604.75/535.42
  6. Step 6: Final answer
    x = 449.38

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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.