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Finding the Fourth Proportional to 535.66, 739.27 and 325.79

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Solution

The fourth proportional to 535.66, 739.27 and 325.79 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.66 : 739.27 = 325.79 : x
  2. Step 2: Convert to fraction form
    535.66/739.27 = 325.79/x
  3. Step 3: Cross multiply
    535.66x = 739.27 × 325.79
  4. Step 4: Simplify right side
    535.66x = 240,844.42
  5. Step 5: Solve for x
    x = 240,844.42/535.66
  6. Step 6: Final answer
    x = 449.62

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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.