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Finding the Fourth Proportional to 535.81, 803.63 and 330.27

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Solution

The fourth proportional to 535.81, 803.63 and 330.27 is: 495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.81 : 803.63 = 330.27 : x
  2. Step 2: Convert to fraction form
    535.81/803.63 = 330.27/x
  3. Step 3: Cross multiply
    535.81x = 803.63 × 330.27
  4. Step 4: Simplify right side
    535.81x = 265,414.88
  5. Step 5: Solve for x
    x = 265,414.88/535.81
  6. Step 6: Final answer
    x = 495.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.