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Finding the Fourth Proportional to 536.76, 804.74 and 331.22

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Solution

The fourth proportional to 536.76, 804.74 and 331.22 is: 496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 804.74 = 331.22 : x
  2. Step 2: Convert to fraction form
    536.76/804.74 = 331.22/x
  3. Step 3: Cross multiply
    536.76x = 804.74 × 331.22
  4. Step 4: Simplify right side
    536.76x = 266,546.34
  5. Step 5: Solve for x
    x = 266,546.34/536.76
  6. Step 6: Final answer
    x = 496.58

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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.