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Finding the Fourth Proportional to 535.97, 804.03 and 170.76

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Solution

The fourth proportional to 535.97, 804.03 and 170.76 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 804.03 = 170.76 : x
  2. Step 2: Convert to fraction form
    535.97/804.03 = 170.76/x
  3. Step 3: Cross multiply
    535.97x = 804.03 × 170.76
  4. Step 4: Simplify right side
    535.97x = 137,294.01
  5. Step 5: Solve for x
    x = 137,294.01/535.97
  6. Step 6: Final answer
    x = 256.16

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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.