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Finding the Fourth Proportional to 535.98, 804.06 and 247.41

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Solution

The fourth proportional to 535.98, 804.06 and 247.41 is: 371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.98 : 804.06 = 247.41 : x
  2. Step 2: Convert to fraction form
    535.98/804.06 = 247.41/x
  3. Step 3: Cross multiply
    535.98x = 804.06 × 247.41
  4. Step 4: Simplify right side
    535.98x = 198,932.48
  5. Step 5: Solve for x
    x = 198,932.48/535.98
  6. Step 6: Final answer
    x = 371.16

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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.