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Finding the Fourth Proportional to 536.06, 804.30 and 170.90

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Solution

The fourth proportional to 536.06, 804.30 and 170.90 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.06 : 804.30 = 170.90 : x
  2. Step 2: Convert to fraction form
    536.06/804.30 = 170.90/x
  3. Step 3: Cross multiply
    536.06x = 804.30 × 170.90
  4. Step 4: Simplify right side
    536.06x = 137,454.87
  5. Step 5: Solve for x
    x = 137,454.87/536.06
  6. Step 6: Final answer
    x = 256.42

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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.